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Finding the Third Proportional to 44,921.25 and 97,319.25

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Solution

The third proportional to 44,921.25 and 97,319.25 is: 210,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,921.25 : 97,319.25 = 97,319.25 : x
  2. Step 2: Convert to fraction form
    44,921.25/97,319.25 = 97,319.25/x
  3. Step 3: Cross multiply
    44,921.25x = 97,319.25 × 97,319.25
  4. Step 4: Simplify right side
    44,921.25x = 9,471,036,420.56
  5. Step 5: Solve for x
    x = 9,471,036,420.56/44,921.25
  6. Step 6: Final answer
    x = 210,836.44

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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.