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Finding the Third Proportional to 249,238,518.75 and 542,365,206.75

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Solution

The third proportional to 249,238,518.75 and 542,365,206.75 is: 1,180,234,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,238,518.75 : 542,365,206.75 = 542,365,206.75 : x
  2. Step 2: Convert to fraction form
    249,238,518.75/542,365,206.75 = 542,365,206.75/x
  3. Step 3: Cross multiply
    249,238,518.75x = 542,365,206.75 × 542,365,206.75
  4. Step 4: Simplify right side
    249,238,518.75x = 294,160,017,492,970,240
  5. Step 5: Solve for x
    x = 294,160,017,492,970,240/249,238,518.75
  6. Step 6: Final answer
    x = 1,180,234,977.19

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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.