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Finding the Third Proportional to 99,681.89 and 215,971.31

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Solution

The third proportional to 99,681.89 and 215,971.31 is: 467,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,681.89 : 215,971.31 = 215,971.31 : x
  2. Step 2: Convert to fraction form
    99,681.89/215,971.31 = 215,971.31/x
  3. Step 3: Cross multiply
    99,681.89x = 215,971.31 × 215,971.31
  4. Step 4: Simplify right side
    99,681.89x = 46,643,607,822.97
  5. Step 5: Solve for x
    x = 46,643,607,822.97/99,681.89
  6. Step 6: Final answer
    x = 467,924.59

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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.