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Finding the Third Proportional to 83,991.94 and 130,050.56

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Solution

The third proportional to 83,991.94 and 130,050.56 is: 201,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991.94 : 130,050.56 = 130,050.56 : x
  2. Step 2: Convert to fraction form
    83,991.94/130,050.56 = 130,050.56/x
  3. Step 3: Cross multiply
    83,991.94x = 130,050.56 × 130,050.56
  4. Step 4: Simplify right side
    83,991.94x = 16,913,148,806.57
  5. Step 5: Solve for x
    x = 16,913,148,806.57/83,991.94
  6. Step 6: Final answer
    x = 201,366.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.