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Finding the Third Proportional to 45,902.25 and 97,319.25

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Solution

The third proportional to 45,902.25 and 97,319.25 is: 206,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.25 : 97,319.25 = 97,319.25 : x
  2. Step 2: Convert to fraction form
    45,902.25/97,319.25 = 97,319.25/x
  3. Step 3: Cross multiply
    45,902.25x = 97,319.25 × 97,319.25
  4. Step 4: Simplify right side
    45,902.25x = 9,471,036,420.56
  5. Step 5: Solve for x
    x = 9,471,036,420.56/45,902.25
  6. Step 6: Final answer
    x = 206,330.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.