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Finding the Third Proportional to 89,214 and 130,471.50

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Solution

The third proportional to 89,214 and 130,471.50 is: 190,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214 : 130,471.50 = 130,471.50 : x
  2. Step 2: Convert to fraction form
    89,214/130,471.50 = 130,471.50/x
  3. Step 3: Cross multiply
    89,214x = 130,471.50 × 130,471.50
  4. Step 4: Simplify right side
    89,214x = 17,022,812,312.25
  5. Step 5: Solve for x
    x = 17,022,812,312.25/89,214
  6. Step 6: Final answer
    x = 190,808.76

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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.