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Finding the Third Proportional to 83,646,029 and 181,188,256

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Solution

The third proportional to 83,646,029 and 181,188,256 is: 392,477,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646,029 : 181,188,256 = 181,188,256 : x
  2. Step 2: Convert to fraction form
    83,646,029/181,188,256 = 181,188,256/x
  3. Step 3: Cross multiply
    83,646,029x = 181,188,256 × 181,188,256
  4. Step 4: Simplify right side
    83,646,029x = 32,829,184,112,321,536
  5. Step 5: Solve for x
    x = 32,829,184,112,321,536/83,646,029
  6. Step 6: Final answer
    x = 392,477,497.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.