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Finding the Third Proportional to 177,437,829 and 386,120,261

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Solution

The third proportional to 177,437,829 and 386,120,261 is: 840,231,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437,829 : 386,120,261 = 386,120,261 : x
  2. Step 2: Convert to fraction form
    177,437,829/386,120,261 = 386,120,261/x
  3. Step 3: Cross multiply
    177,437,829x = 386,120,261 × 386,120,261
  4. Step 4: Simplify right side
    177,437,829x = 149,088,855,954,708,128
  5. Step 5: Solve for x
    x = 149,088,855,954,708,128/177,437,829
  6. Step 6: Final answer
    x = 840,231,515.43

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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.