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Finding the Third Proportional to 71,707,200 and 108,414,288

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Solution

The third proportional to 71,707,200 and 108,414,288 is: 163,911,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707,200 : 108,414,288 = 108,414,288 : x
  2. Step 2: Convert to fraction form
    71,707,200/108,414,288 = 108,414,288/x
  3. Step 3: Cross multiply
    71,707,200x = 108,414,288 × 108,414,288
  4. Step 4: Simplify right side
    71,707,200x = 11,753,657,842,546,944
  5. Step 5: Solve for x
    x = 11,753,657,842,546,944/71,707,200
  6. Step 6: Final answer
    x = 163,911,822.56

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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.