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Finding the Third Proportional to 97,449.75 and 220,106.25

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Solution

The third proportional to 97,449.75 and 220,106.25 is: 497,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449.75 : 220,106.25 = 220,106.25 : x
  2. Step 2: Convert to fraction form
    97,449.75/220,106.25 = 220,106.25/x
  3. Step 3: Cross multiply
    97,449.75x = 220,106.25 × 220,106.25
  4. Step 4: Simplify right side
    97,449.75x = 48,446,761,289.06
  5. Step 5: Solve for x
    x = 48,446,761,289.06/97,449.75
  6. Step 6: Final answer
    x = 497,146.08

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.