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Finding the Third Proportional to 49,957,007,424.75 and 109,068,523,859.25

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Solution

The third proportional to 49,957,007,424.75 and 109,068,523,859.25 is: 238,123,608,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,957,007,424.75 : 109,068,523,859.25 = 109,068,523,859.25 : x
  2. Step 2: Convert to fraction form
    49,957,007,424.75/109,068,523,859.25 = 109,068,523,859.25/x
  3. Step 3: Cross multiply
    49,957,007,424.75x = 109,068,523,859.25 × 109,068,523,859.25
  4. Step 4: Simplify right side
    49,957,007,424.75x = 11,895,942,896,835,786,440,704
  5. Step 5: Solve for x
    x = 11,895,942,896,835,786,440,704/49,957,007,424.75
  6. Step 6: Final answer
    x = 238,123,608,880.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.