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Finding the Third Proportional to 213,542,770.50 and 332,799,016.50

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Solution

The third proportional to 213,542,770.50 and 332,799,016.50 is: 518,655,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542,770.50 : 332,799,016.50 = 332,799,016.50 : x
  2. Step 2: Convert to fraction form
    213,542,770.50/332,799,016.50 = 332,799,016.50/x
  3. Step 3: Cross multiply
    213,542,770.50x = 332,799,016.50 × 332,799,016.50
  4. Step 4: Simplify right side
    213,542,770.50x = 110,755,185,383,367,280
  5. Step 5: Solve for x
    x = 110,755,185,383,367,280/213,542,770.50
  6. Step 6: Final answer
    x = 518,655,748.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.