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Finding the Third Proportional to 99,586.50 and 215,022

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Solution

The third proportional to 99,586.50 and 215,022 is: 464,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,586.50 : 215,022 = 215,022 : x
  2. Step 2: Convert to fraction form
    99,586.50/215,022 = 215,022/x
  3. Step 3: Cross multiply
    99,586.50x = 215,022 × 215,022
  4. Step 4: Simplify right side
    99,586.50x = 46,234,460,484
  5. Step 5: Solve for x
    x = 46,234,460,484/99,586.50
  6. Step 6: Final answer
    x = 464,264.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.