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Finding the Third Proportional to 99,064 and 207,920

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Solution

The third proportional to 99,064 and 207,920 is: 436,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,064 : 207,920 = 207,920 : x
  2. Step 2: Convert to fraction form
    99,064/207,920 = 207,920/x
  3. Step 3: Cross multiply
    99,064x = 207,920 × 207,920
  4. Step 4: Simplify right side
    99,064x = 43,230,726,400
  5. Step 5: Solve for x
    x = 43,230,726,400/99,064
  6. Step 6: Final answer
    x = 436,391.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.