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Finding the Third Proportional to 77,527,800 and 120,103,398

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Solution

The third proportional to 77,527,800 and 120,103,398 is: 186,060,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,527,800 : 120,103,398 = 120,103,398 : x
  2. Step 2: Convert to fraction form
    77,527,800/120,103,398 = 120,103,398/x
  3. Step 3: Cross multiply
    77,527,800x = 120,103,398 × 120,103,398
  4. Step 4: Simplify right side
    77,527,800x = 14,424,826,211,146,404
  5. Step 5: Solve for x
    x = 14,424,826,211,146,404/77,527,800
  6. Step 6: Final answer
    x = 186,060,048.28

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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.