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Finding the Third Proportional to 83,645,349 and 181,186,896

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Solution

The third proportional to 83,645,349 and 181,186,896 is: 392,474,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,645,349 : 181,186,896 = 181,186,896 : x
  2. Step 2: Convert to fraction form
    83,645,349/181,186,896 = 181,186,896/x
  3. Step 3: Cross multiply
    83,645,349x = 181,186,896 × 181,186,896
  4. Step 4: Simplify right side
    83,645,349x = 32,828,691,282,114,816
  5. Step 5: Solve for x
    x = 32,828,691,282,114,816/83,645,349
  6. Step 6: Final answer
    x = 392,474,795.96

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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.