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Finding the Third Proportional to 100,885.50 and 141,385.50

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Solution

The third proportional to 100,885.50 and 141,385.50 is: 198,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.50 : 141,385.50 = 141,385.50 : x
  2. Step 2: Convert to fraction form
    100,885.50/141,385.50 = 141,385.50/x
  3. Step 3: Cross multiply
    100,885.50x = 141,385.50 × 141,385.50
  4. Step 4: Simplify right side
    100,885.50x = 19,989,859,610.25
  5. Step 5: Solve for x
    x = 19,989,859,610.25/100,885.50
  6. Step 6: Final answer
    x = 198,144.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.