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Finding the Third Proportional to 73,849.22 and 161,853.19

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Solution

The third proportional to 73,849.22 and 161,853.19 is: 354,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,849.22 : 161,853.19 = 161,853.19 : x
  2. Step 2: Convert to fraction form
    73,849.22/161,853.19 = 161,853.19/x
  3. Step 3: Cross multiply
    73,849.22x = 161,853.19 × 161,853.19
  4. Step 4: Simplify right side
    73,849.22x = 26,196,454,303.91
  5. Step 5: Solve for x
    x = 26,196,454,303.91/73,849.22
  6. Step 6: Final answer
    x = 354,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.