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Finding the Third Proportional to 44,150.06 and 86,143.50

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Solution

The third proportional to 44,150.06 and 86,143.50 is: 168,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,150.06 : 86,143.50 = 86,143.50 : x
  2. Step 2: Convert to fraction form
    44,150.06/86,143.50 = 86,143.50/x
  3. Step 3: Cross multiply
    44,150.06x = 86,143.50 × 86,143.50
  4. Step 4: Simplify right side
    44,150.06x = 7,420,702,592.25
  5. Step 5: Solve for x
    x = 7,420,702,592.25/44,150.06
  6. Step 6: Final answer
    x = 168,079.10

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.