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Finding the Third Proportional to 41,482.13 and 97,508.25

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Solution

The third proportional to 41,482.13 and 97,508.25 is: 229,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,482.13 : 97,508.25 = 97,508.25 : x
  2. Step 2: Convert to fraction form
    41,482.13/97,508.25 = 97,508.25/x
  3. Step 3: Cross multiply
    41,482.13x = 97,508.25 × 97,508.25
  4. Step 4: Simplify right side
    41,482.13x = 9,507,858,818.06
  5. Step 5: Solve for x
    x = 9,507,858,818.06/41,482.13
  6. Step 6: Final answer
    x = 229,203.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.