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Finding the Third Proportional to 89,314.84 and 191,580.82

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Solution

The third proportional to 89,314.84 and 191,580.82 is: 410,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314.84 : 191,580.82 = 191,580.82 : x
  2. Step 2: Convert to fraction form
    89,314.84/191,580.82 = 191,580.82/x
  3. Step 3: Cross multiply
    89,314.84x = 191,580.82 × 191,580.82
  4. Step 4: Simplify right side
    89,314.84x = 36,703,210,711.61
  5. Step 5: Solve for x
    x = 36,703,210,711.61/89,314.84
  6. Step 6: Final answer
    x = 410,941.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.