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Finding the Third Proportional to 177,437,843 and 386,120,288

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Solution

The third proportional to 177,437,843 and 386,120,288 is: 840,231,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437,843 : 386,120,288 = 386,120,288 : x
  2. Step 2: Convert to fraction form
    177,437,843/386,120,288 = 386,120,288/x
  3. Step 3: Cross multiply
    177,437,843x = 386,120,288 × 386,120,288
  4. Step 4: Simplify right side
    177,437,843x = 149,088,876,805,202,944
  5. Step 5: Solve for x
    x = 149,088,876,805,202,944/177,437,843
  6. Step 6: Final answer
    x = 840,231,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.