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Finding the Third Proportional to 47,932,853 and 102,584,170

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Solution

The third proportional to 47,932,853 and 102,584,170 is: 219,546,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,932,853 : 102,584,170 = 102,584,170 : x
  2. Step 2: Convert to fraction form
    47,932,853/102,584,170 = 102,584,170/x
  3. Step 3: Cross multiply
    47,932,853x = 102,584,170 × 102,584,170
  4. Step 4: Simplify right side
    47,932,853x = 10,523,511,934,588,900
  5. Step 5: Solve for x
    x = 10,523,511,934,588,900/47,932,853
  6. Step 6: Final answer
    x = 219,546,955.29

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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.