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Finding the Third Proportional to 82,839,343.50 and 123,540,641.50

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Solution

The third proportional to 82,839,343.50 and 123,540,641.50 is: 184,239,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839,343.50 : 123,540,641.50 = 123,540,641.50 : x
  2. Step 2: Convert to fraction form
    82,839,343.50/123,540,641.50 = 123,540,641.50/x
  3. Step 3: Cross multiply
    82,839,343.50x = 123,540,641.50 × 123,540,641.50
  4. Step 4: Simplify right side
    82,839,343.50x = 15,262,290,102,231,522
  5. Step 5: Solve for x
    x = 15,262,290,102,231,522/82,839,343.50
  6. Step 6: Final answer
    x = 184,239,631.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.