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Finding the Third Proportional to 49,272,136,306 and 101,156,332,098

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Solution

The third proportional to 49,272,136,306 and 101,156,332,098 is: 207,675,256,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,272,136,306 : 101,156,332,098 = 101,156,332,098 : x
  2. Step 2: Convert to fraction form
    49,272,136,306/101,156,332,098 = 101,156,332,098/x
  3. Step 3: Cross multiply
    49,272,136,306x = 101,156,332,098 × 101,156,332,098
  4. Step 4: Simplify right side
    49,272,136,306x = 10,232,603,523,520,864,976,896
  5. Step 5: Solve for x
    x = 10,232,603,523,520,864,976,896/49,272,136,306
  6. Step 6: Final answer
    x = 207,675,256,050.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.