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Finding the Third Proportional to 107,399.44 and 157,810.78

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Solution

The third proportional to 107,399.44 and 157,810.78 is: 231,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,399.44 : 157,810.78 = 157,810.78 : x
  2. Step 2: Convert to fraction form
    107,399.44/157,810.78 = 157,810.78/x
  3. Step 3: Cross multiply
    107,399.44x = 157,810.78 × 157,810.78
  4. Step 4: Simplify right side
    107,399.44x = 24,904,242,678.74
  5. Step 5: Solve for x
    x = 24,904,242,678.74/107,399.44
  6. Step 6: Final answer
    x = 231,884.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.