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Finding the Third Proportional to 107,711.44 and 170,477.16

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Solution

The third proportional to 107,711.44 and 170,477.16 is: 269,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.44 : 170,477.16 = 170,477.16 : x
  2. Step 2: Convert to fraction form
    107,711.44/170,477.16 = 170,477.16/x
  3. Step 3: Cross multiply
    107,711.44x = 170,477.16 × 170,477.16
  4. Step 4: Simplify right side
    107,711.44x = 29,062,460,803.09
  5. Step 5: Solve for x
    x = 29,062,460,803.09/107,711.44
  6. Step 6: Final answer
    x = 269,817.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.