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Finding the Third Proportional to 100,343.25 and 217,226.25

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Solution

The third proportional to 100,343.25 and 217,226.25 is: 470,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,343.25 : 217,226.25 = 217,226.25 : x
  2. Step 2: Convert to fraction form
    100,343.25/217,226.25 = 217,226.25/x
  3. Step 3: Cross multiply
    100,343.25x = 217,226.25 × 217,226.25
  4. Step 4: Simplify right side
    100,343.25x = 47,187,243,689.06
  5. Step 5: Solve for x
    x = 47,187,243,689.06/100,343.25
  6. Step 6: Final answer
    x = 470,258.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.