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Finding the Third Proportional to 97,534.13 and 209,617.88

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Solution

The third proportional to 97,534.13 and 209,617.88 is: 450,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,534.13 : 209,617.88 = 209,617.88 : x
  2. Step 2: Convert to fraction form
    97,534.13/209,617.88 = 209,617.88/x
  3. Step 3: Cross multiply
    97,534.13x = 209,617.88 × 209,617.88
  4. Step 4: Simplify right side
    97,534.13x = 43,939,653,519.52
  5. Step 5: Solve for x
    x = 43,939,653,519.52/97,534.13
  6. Step 6: Final answer
    x = 450,505.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.