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Finding the Third Proportional to 231,210,448 and 379,566,744

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Solution

The third proportional to 231,210,448 and 379,566,744 is: 623,115,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,210,448 : 379,566,744 = 379,566,744 : x
  2. Step 2: Convert to fraction form
    231,210,448/379,566,744 = 379,566,744/x
  3. Step 3: Cross multiply
    231,210,448x = 379,566,744 × 379,566,744
  4. Step 4: Simplify right side
    231,210,448x = 144,070,913,150,761,536
  5. Step 5: Solve for x
    x = 144,070,913,150,761,536/231,210,448
  6. Step 6: Final answer
    x = 623,115,929.22

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.