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Finding the Third Proportional to 82,982,566.13 and 121,783,425.75

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Solution

The third proportional to 82,982,566.13 and 121,783,425.75 is: 178,726,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982,566.13 : 121,783,425.75 = 121,783,425.75 : x
  2. Step 2: Convert to fraction form
    82,982,566.13/121,783,425.75 = 121,783,425.75/x
  3. Step 3: Cross multiply
    82,982,566.13x = 121,783,425.75 × 121,783,425.75
  4. Step 4: Simplify right side
    82,982,566.13x = 14,831,202,787,405,764
  5. Step 5: Solve for x
    x = 14,831,202,787,405,764/82,982,566.13
  6. Step 6: Final answer
    x = 178,726,731.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.