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Finding the Third Proportional to 101,080.41 and 216,923.06

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Solution

The third proportional to 101,080.41 and 216,923.06 is: 465,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,080.41 : 216,923.06 = 216,923.06 : x
  2. Step 2: Convert to fraction form
    101,080.41/216,923.06 = 216,923.06/x
  3. Step 3: Cross multiply
    101,080.41x = 216,923.06 × 216,923.06
  4. Step 4: Simplify right side
    101,080.41x = 47,055,615,044.38
  5. Step 5: Solve for x
    x = 47,055,615,044.38/101,080.41
  6. Step 6: Final answer
    x = 465,526.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.