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Finding the Third Proportional to 207,073,651.50 and 329,654,367

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Solution

The third proportional to 207,073,651.50 and 329,654,367 is: 524,798,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,073,651.50 : 329,654,367 = 329,654,367 : x
  2. Step 2: Convert to fraction form
    207,073,651.50/329,654,367 = 329,654,367/x
  3. Step 3: Cross multiply
    207,073,651.50x = 329,654,367 × 329,654,367
  4. Step 4: Simplify right side
    207,073,651.50x = 108,672,001,682,170,688
  5. Step 5: Solve for x
    x = 108,672,001,682,170,688/207,073,651.50
  6. Step 6: Final answer
    x = 524,798,789.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.