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Finding the Third Proportional to 107,214.47 and 157,703.20

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Solution

The third proportional to 107,214.47 and 157,703.20 is: 231,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,214.47 : 157,703.20 = 157,703.20 : x
  2. Step 2: Convert to fraction form
    107,214.47/157,703.20 = 157,703.20/x
  3. Step 3: Cross multiply
    107,214.47x = 157,703.20 × 157,703.20
  4. Step 4: Simplify right side
    107,214.47x = 24,870,300,275.89
  5. Step 5: Solve for x
    x = 24,870,300,275.89/107,214.47
  6. Step 6: Final answer
    x = 231,967.76

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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.