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Finding the Third Proportional to 71,707,202 and 108,414,291

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Solution

The third proportional to 71,707,202 and 108,414,291 is: 163,911,827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707,202 : 108,414,291 = 108,414,291 : x
  2. Step 2: Convert to fraction form
    71,707,202/108,414,291 = 108,414,291/x
  3. Step 3: Cross multiply
    71,707,202x = 108,414,291 × 108,414,291
  4. Step 4: Simplify right side
    71,707,202x = 11,753,658,493,032,680
  5. Step 5: Solve for x
    x = 11,753,658,493,032,680/71,707,202
  6. Step 6: Final answer
    x = 163,911,827.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.