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Finding the Third Proportional to 249,915,800 and 542,817,808

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Solution

The third proportional to 249,915,800 and 542,817,808 is: 1,179,001,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,915,800 : 542,817,808 = 542,817,808 : x
  2. Step 2: Convert to fraction form
    249,915,800/542,817,808 = 542,817,808/x
  3. Step 3: Cross multiply
    249,915,800x = 542,817,808 × 542,817,808
  4. Step 4: Simplify right side
    249,915,800x = 294,651,172,681,924,864
  5. Step 5: Solve for x
    x = 294,651,172,681,924,864/249,915,800
  6. Step 6: Final answer
    x = 1,179,001,778.53

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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.