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Finding the Third Proportional to 82,858,091 and 124,633,073

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Solution

The third proportional to 82,858,091 and 124,633,073 is: 187,469,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858,091 : 124,633,073 = 124,633,073 : x
  2. Step 2: Convert to fraction form
    82,858,091/124,633,073 = 124,633,073/x
  3. Step 3: Cross multiply
    82,858,091x = 124,633,073 × 124,633,073
  4. Step 4: Simplify right side
    82,858,091x = 15,533,402,885,423,328
  5. Step 5: Solve for x
    x = 15,533,402,885,423,328/82,858,091
  6. Step 6: Final answer
    x = 187,469,958.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.