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Finding the Third Proportional to 151,118,770.50 and 320,397,822

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Solution

The third proportional to 151,118,770.50 and 320,397,822 is: 679,298,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,118,770.50 : 320,397,822 = 320,397,822 : x
  2. Step 2: Convert to fraction form
    151,118,770.50/320,397,822 = 320,397,822/x
  3. Step 3: Cross multiply
    151,118,770.50x = 320,397,822 × 320,397,822
  4. Step 4: Simplify right side
    151,118,770.50x = 102,654,764,342,343,680
  5. Step 5: Solve for x
    x = 102,654,764,342,343,680/151,118,770.50
  6. Step 6: Final answer
    x = 679,298,567.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.