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Finding the Third Proportional to 251,662,003.31 and 546,885,691.88

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Solution

The third proportional to 251,662,003.31 and 546,885,691.88 is: 1,188,435,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662,003.31 : 546,885,691.88 = 546,885,691.88 : x
  2. Step 2: Convert to fraction form
    251,662,003.31/546,885,691.88 = 546,885,691.88/x
  3. Step 3: Cross multiply
    251,662,003.31x = 546,885,691.88 × 546,885,691.88
  4. Step 4: Simplify right side
    251,662,003.31x = 299,083,959,977,597,440
  5. Step 5: Solve for x
    x = 299,083,959,977,597,440/251,662,003.31
  6. Step 6: Final answer
    x = 1,188,435,107.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.