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Finding the Third Proportional to 95,331 and 203,331

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Solution

The third proportional to 95,331 and 203,331 is: 433,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,331 : 203,331 = 203,331 : x
  2. Step 2: Convert to fraction form
    95,331/203,331 = 203,331/x
  3. Step 3: Cross multiply
    95,331x = 203,331 × 203,331
  4. Step 4: Simplify right side
    95,331x = 41,343,495,561
  5. Step 5: Solve for x
    x = 41,343,495,561/95,331
  6. Step 6: Final answer
    x = 433,683.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.