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Finding the Third Proportional to 82,858,087.13 and 124,633,066.50

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Solution

The third proportional to 82,858,087.13 and 124,633,066.50 is: 187,469,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858,087.13 : 124,633,066.50 = 124,633,066.50 : x
  2. Step 2: Convert to fraction form
    82,858,087.13/124,633,066.50 = 124,633,066.50/x
  3. Step 3: Cross multiply
    82,858,087.13x = 124,633,066.50 × 124,633,066.50
  4. Step 4: Simplify right side
    82,858,087.13x = 15,533,401,265,193,422
  5. Step 5: Solve for x
    x = 15,533,401,265,193,422/82,858,087.13
  6. Step 6: Final answer
    x = 187,469,947.76

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