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Finding the Third Proportional to 96,387.19 and 208,861.31

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Solution

The third proportional to 96,387.19 and 208,861.31 is: 452,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,387.19 : 208,861.31 = 208,861.31 : x
  2. Step 2: Convert to fraction form
    96,387.19/208,861.31 = 208,861.31/x
  3. Step 3: Cross multiply
    96,387.19x = 208,861.31 × 208,861.31
  4. Step 4: Simplify right side
    96,387.19x = 43,623,047,859.22
  5. Step 5: Solve for x
    x = 43,623,047,859.22/96,387.19
  6. Step 6: Final answer
    x = 452,581.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.