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Finding the Third Proportional to 249,652,102 and 542,757,487

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Solution

The third proportional to 249,652,102 and 542,757,487 is: 1,179,984,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,652,102 : 542,757,487 = 542,757,487 : x
  2. Step 2: Convert to fraction form
    249,652,102/542,757,487 = 542,757,487/x
  3. Step 3: Cross multiply
    249,652,102x = 542,757,487 × 542,757,487
  4. Step 4: Simplify right side
    249,652,102x = 294,585,689,694,555,200
  5. Step 5: Solve for x
    x = 294,585,689,694,555,200/249,652,102
  6. Step 6: Final answer
    x = 1,179,984,816.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.