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Finding the Third Proportional to 89,211.38 and 130,467.94

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Solution

The third proportional to 89,211.38 and 130,467.94 is: 190,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211.38 : 130,467.94 = 130,467.94 : x
  2. Step 2: Convert to fraction form
    89,211.38/130,467.94 = 130,467.94/x
  3. Step 3: Cross multiply
    89,211.38x = 130,467.94 × 130,467.94
  4. Step 4: Simplify right side
    89,211.38x = 17,021,882,715.50
  5. Step 5: Solve for x
    x = 17,021,882,715.50/89,211.38
  6. Step 6: Final answer
    x = 190,803.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.