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Finding the Third Proportional to 57,776,712.75 and 89,750,521.13

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Solution

The third proportional to 57,776,712.75 and 89,750,521.13 is: 139,418,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776,712.75 : 89,750,521.13 = 89,750,521.13 : x
  2. Step 2: Convert to fraction form
    57,776,712.75/89,750,521.13 = 89,750,521.13/x
  3. Step 3: Cross multiply
    57,776,712.75x = 89,750,521.13 × 89,750,521.13
  4. Step 4: Simplify right side
    57,776,712.75x = 8,055,156,042,209,071
  5. Step 5: Solve for x
    x = 8,055,156,042,209,071/57,776,712.75
  6. Step 6: Final answer
    x = 139,418,732.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.