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Finding the Third Proportional to 103,816.13 and 160,150.88

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Solution

The third proportional to 103,816.13 and 160,150.88 is: 247,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.13 : 160,150.88 = 160,150.88 : x
  2. Step 2: Convert to fraction form
    103,816.13/160,150.88 = 160,150.88/x
  3. Step 3: Cross multiply
    103,816.13x = 160,150.88 × 160,150.88
  4. Step 4: Simplify right side
    103,816.13x = 25,648,302,763.27
  5. Step 5: Solve for x
    x = 25,648,302,763.27/103,816.13
  6. Step 6: Final answer
    x = 247,055.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.