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Finding the Third Proportional to 186,006,856 and 306,279,744

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Solution

The third proportional to 186,006,856 and 306,279,744 is: 504,321,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,006,856 : 306,279,744 = 306,279,744 : x
  2. Step 2: Convert to fraction form
    186,006,856/306,279,744 = 306,279,744/x
  3. Step 3: Cross multiply
    186,006,856x = 306,279,744 × 306,279,744
  4. Step 4: Simplify right side
    186,006,856x = 93,807,281,584,705,536
  5. Step 5: Solve for x
    x = 93,807,281,584,705,536/186,006,856
  6. Step 6: Final answer
    x = 504,321,634.17

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.