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Finding the Third Proportional to 91,254 and 195,118

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Solution

The third proportional to 91,254 and 195,118 is: 417,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,254 : 195,118 = 195,118 : x
  2. Step 2: Convert to fraction form
    91,254/195,118 = 195,118/x
  3. Step 3: Cross multiply
    91,254x = 195,118 × 195,118
  4. Step 4: Simplify right side
    91,254x = 38,071,033,924
  5. Step 5: Solve for x
    x = 38,071,033,924/91,254
  6. Step 6: Final answer
    x = 417,198.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.