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Finding the Third Proportional to 48,096,180 and 106,924,698

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Solution

The third proportional to 48,096,180 and 106,924,698 is: 237,708,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096,180 : 106,924,698 = 106,924,698 : x
  2. Step 2: Convert to fraction form
    48,096,180/106,924,698 = 106,924,698/x
  3. Step 3: Cross multiply
    48,096,180x = 106,924,698 × 106,924,698
  4. Step 4: Simplify right side
    48,096,180x = 11,432,891,042,391,204
  5. Step 5: Solve for x
    x = 11,432,891,042,391,204/48,096,180
  6. Step 6: Final answer
    x = 237,708,920.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.