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Finding the Third Proportional to 249,309,636,571.50 and 505,556,604,994.50

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Solution

The third proportional to 249,309,636,571.50 and 505,556,604,994.50 is: 1,025,180,913,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,309,636,571.50 : 505,556,604,994.50 = 505,556,604,994.50 : x
  2. Step 2: Convert to fraction form
    249,309,636,571.50/505,556,604,994.50 = 505,556,604,994.50/x
  3. Step 3: Cross multiply
    249,309,636,571.50x = 505,556,604,994.50 × 505,556,604,994.50
  4. Step 4: Simplify right side
    249,309,636,571.50x = 255,587,480,853,564,891,332,608
  5. Step 5: Solve for x
    x = 255,587,480,853,564,891,332,608/249,309,636,571.50
  6. Step 6: Final answer
    x = 1,025,180,913,054.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.