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Finding the Third Proportional to 255,547,684.25 and 555,869,966.50

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Solution

The third proportional to 255,547,684.25 and 555,869,966.50 is: 1,209,134,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,684.25 : 555,869,966.50 = 555,869,966.50 : x
  2. Step 2: Convert to fraction form
    255,547,684.25/555,869,966.50 = 555,869,966.50/x
  3. Step 3: Cross multiply
    255,547,684.25x = 555,869,966.50 × 555,869,966.50
  4. Step 4: Simplify right side
    255,547,684.25x = 308,991,419,656,711,104
  5. Step 5: Solve for x
    x = 308,991,419,656,711,104/255,547,684.25
  6. Step 6: Final answer
    x = 1,209,134,101.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.