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Finding the Third Proportional to 99,724.50 and 215,304

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Solution

The third proportional to 99,724.50 and 215,304 is: 464,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,724.50 : 215,304 = 215,304 : x
  2. Step 2: Convert to fraction form
    99,724.50/215,304 = 215,304/x
  3. Step 3: Cross multiply
    99,724.50x = 215,304 × 215,304
  4. Step 4: Simplify right side
    99,724.50x = 46,355,812,416
  5. Step 5: Solve for x
    x = 46,355,812,416/99,724.50
  6. Step 6: Final answer
    x = 464,838.75

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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.