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Finding the Third Proportional to 95,312.25 and 206,316.75

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Solution

The third proportional to 95,312.25 and 206,316.75 is: 446,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,312.25 : 206,316.75 = 206,316.75 : x
  2. Step 2: Convert to fraction form
    95,312.25/206,316.75 = 206,316.75/x
  3. Step 3: Cross multiply
    95,312.25x = 206,316.75 × 206,316.75
  4. Step 4: Simplify right side
    95,312.25x = 42,566,601,330.56
  5. Step 5: Solve for x
    x = 42,566,601,330.56/95,312.25
  6. Step 6: Final answer
    x = 446,601.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.