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Finding the Third Proportional to 78,122,082 and 165,101,496

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Solution

The third proportional to 78,122,082 and 165,101,496 is: 348,921,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,082 : 165,101,496 = 165,101,496 : x
  2. Step 2: Convert to fraction form
    78,122,082/165,101,496 = 165,101,496/x
  3. Step 3: Cross multiply
    78,122,082x = 165,101,496 × 165,101,496
  4. Step 4: Simplify right side
    78,122,082x = 27,258,503,981,438,016
  5. Step 5: Solve for x
    x = 27,258,503,981,438,016/78,122,082
  6. Step 6: Final answer
    x = 348,921,883.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.