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Finding the Third Proportional to 70,514.63 and 150,869.81

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Solution

The third proportional to 70,514.63 and 150,869.81 is: 322,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514.63 : 150,869.81 = 150,869.81 : x
  2. Step 2: Convert to fraction form
    70,514.63/150,869.81 = 150,869.81/x
  3. Step 3: Cross multiply
    70,514.63x = 150,869.81 × 150,869.81
  4. Step 4: Simplify right side
    70,514.63x = 22,761,700,323.79
  5. Step 5: Solve for x
    x = 22,761,700,323.79/70,514.63
  6. Step 6: Final answer
    x = 322,794.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.