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Finding the Third Proportional to 89,357.67 and 139,311.70

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Solution

The third proportional to 89,357.67 and 139,311.70 is: 217,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,357.67 : 139,311.70 = 139,311.70 : x
  2. Step 2: Convert to fraction form
    89,357.67/139,311.70 = 139,311.70/x
  3. Step 3: Cross multiply
    89,357.67x = 139,311.70 × 139,311.70
  4. Step 4: Simplify right side
    89,357.67x = 19,407,750,627.59
  5. Step 5: Solve for x
    x = 19,407,750,627.59/89,357.67
  6. Step 6: Final answer
    x = 217,191.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.