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Finding the Third Proportional to 99,861 and 217,354.50

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Solution

The third proportional to 99,861 and 217,354.50 is: 473,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,861 : 217,354.50 = 217,354.50 : x
  2. Step 2: Convert to fraction form
    99,861/217,354.50 = 217,354.50/x
  3. Step 3: Cross multiply
    99,861x = 217,354.50 × 217,354.50
  4. Step 4: Simplify right side
    99,861x = 47,242,978,670.25
  5. Step 5: Solve for x
    x = 47,242,978,670.25/99,861
  6. Step 6: Final answer
    x = 473,087.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.