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Finding the Third Proportional to 83,298.94 and 119,034.56

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Solution

The third proportional to 83,298.94 and 119,034.56 is: 170,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298.94 : 119,034.56 = 119,034.56 : x
  2. Step 2: Convert to fraction form
    83,298.94/119,034.56 = 119,034.56/x
  3. Step 3: Cross multiply
    83,298.94x = 119,034.56 × 119,034.56
  4. Step 4: Simplify right side
    83,298.94x = 14,169,227,069.57
  5. Step 5: Solve for x
    x = 14,169,227,069.57/83,298.94
  6. Step 6: Final answer
    x = 170,100.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.