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Finding the Third Proportional to 77,552,732 and 120,085,131

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Solution

The third proportional to 77,552,732 and 120,085,131 is: 185,943,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552,732 : 120,085,131 = 120,085,131 : x
  2. Step 2: Convert to fraction form
    77,552,732/120,085,131 = 120,085,131/x
  3. Step 3: Cross multiply
    77,552,732x = 120,085,131 × 120,085,131
  4. Step 4: Simplify right side
    77,552,732x = 14,420,438,687,287,160
  5. Step 5: Solve for x
    x = 14,420,438,687,287,160/77,552,732
  6. Step 6: Final answer
    x = 185,943,658.15

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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.