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Finding the Third Proportional to 242,171,909 and 516,632,686

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Solution

The third proportional to 242,171,909 and 516,632,686 is: 1,102,148,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,171,909 : 516,632,686 = 516,632,686 : x
  2. Step 2: Convert to fraction form
    242,171,909/516,632,686 = 516,632,686/x
  3. Step 3: Cross multiply
    242,171,909x = 516,632,686 × 516,632,686
  4. Step 4: Simplify right side
    242,171,909x = 266,909,332,243,574,592
  5. Step 5: Solve for x
    x = 266,909,332,243,574,592/242,171,909
  6. Step 6: Final answer
    x = 1,102,148,194.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.