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Finding the Third Proportional to 242,171,907 and 516,632,682

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Solution

The third proportional to 242,171,907 and 516,632,682 is: 1,102,148,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,171,907 : 516,632,682 = 516,632,682 : x
  2. Step 2: Convert to fraction form
    242,171,907/516,632,682 = 516,632,682/x
  3. Step 3: Cross multiply
    242,171,907x = 516,632,682 × 516,632,682
  4. Step 4: Simplify right side
    242,171,907x = 266,909,328,110,513,120
  5. Step 5: Solve for x
    x = 266,909,328,110,513,120/242,171,907
  6. Step 6: Final answer
    x = 1,102,148,186.46

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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.