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Finding the Third Proportional to 160,403,290.31 and 343,827,691.88

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Solution

The third proportional to 160,403,290.31 and 343,827,691.88 is: 737,001,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,403,290.31 : 343,827,691.88 = 343,827,691.88 : x
  2. Step 2: Convert to fraction form
    160,403,290.31/343,827,691.88 = 343,827,691.88/x
  3. Step 3: Cross multiply
    160,403,290.31x = 343,827,691.88 × 343,827,691.88
  4. Step 4: Simplify right side
    160,403,290.31x = 118,217,481,700,089,936
  5. Step 5: Solve for x
    x = 118,217,481,700,089,936/160,403,290.31
  6. Step 6: Final answer
    x = 737,001,600.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.