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Finding the Third Proportional to 82,858,089 and 124,633,070

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Solution

The third proportional to 82,858,089 and 124,633,070 is: 187,469,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858,089 : 124,633,070 = 124,633,070 : x
  2. Step 2: Convert to fraction form
    82,858,089/124,633,070 = 124,633,070/x
  3. Step 3: Cross multiply
    82,858,089x = 124,633,070 × 124,633,070
  4. Step 4: Simplify right side
    82,858,089x = 15,533,402,137,624,900
  5. Step 5: Solve for x
    x = 15,533,402,137,624,900/82,858,089
  6. Step 6: Final answer
    x = 187,469,954.05

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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.