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Finding the Third Proportional to 91,995 and 198,750

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Solution

The third proportional to 91,995 and 198,750 is: 429,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,995 : 198,750 = 198,750 : x
  2. Step 2: Convert to fraction form
    91,995/198,750 = 198,750/x
  3. Step 3: Cross multiply
    91,995x = 198,750 × 198,750
  4. Step 4: Simplify right side
    91,995x = 39,501,562,500
  5. Step 5: Solve for x
    x = 39,501,562,500/91,995
  6. Step 6: Final answer
    x = 429,388.15

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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.