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Finding the Third Proportional to 45,446.63 and 93,097.13

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Solution

The third proportional to 45,446.63 and 93,097.13 is: 190,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446.63 : 93,097.13 = 93,097.13 : x
  2. Step 2: Convert to fraction form
    45,446.63/93,097.13 = 93,097.13/x
  3. Step 3: Cross multiply
    45,446.63x = 93,097.13 × 93,097.13
  4. Step 4: Simplify right side
    45,446.63x = 8,667,074,683.27
  5. Step 5: Solve for x
    x = 8,667,074,683.27/45,446.63
  6. Step 6: Final answer
    x = 190,708.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.