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Finding the Third Proportional to 91,883.90 and 148,026.16

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Solution

The third proportional to 91,883.90 and 148,026.16 is: 238,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,883.90 : 148,026.16 = 148,026.16 : x
  2. Step 2: Convert to fraction form
    91,883.90/148,026.16 = 148,026.16/x
  3. Step 3: Cross multiply
    91,883.90x = 148,026.16 × 148,026.16
  4. Step 4: Simplify right side
    91,883.90x = 21,911,742,645.04
  5. Step 5: Solve for x
    x = 21,911,742,645.04/91,883.90
  6. Step 6: Final answer
    x = 238,472.06

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.