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Finding the Third Proportional to 50,088,838,344 and 109,177,685,184

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Solution

The third proportional to 50,088,838,344 and 109,177,685,184 is: 237,972,517,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088,838,344 : 109,177,685,184 = 109,177,685,184 : x
  2. Step 2: Convert to fraction form
    50,088,838,344/109,177,685,184 = 109,177,685,184/x
  3. Step 3: Cross multiply
    50,088,838,344x = 109,177,685,184 × 109,177,685,184
  4. Step 4: Simplify right side
    50,088,838,344x = 11,919,766,942,136,613,732,352
  5. Step 5: Solve for x
    x = 11,919,766,942,136,613,732,352/50,088,838,344
  6. Step 6: Final answer
    x = 237,972,517,155.90

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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.