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Finding the Third Proportional to 102,297.09 and 222,301.13

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Solution

The third proportional to 102,297.09 and 222,301.13 is: 483,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,297.09 : 222,301.13 = 222,301.13 : x
  2. Step 2: Convert to fraction form
    102,297.09/222,301.13 = 222,301.13/x
  3. Step 3: Cross multiply
    102,297.09x = 222,301.13 × 222,301.13
  4. Step 4: Simplify right side
    102,297.09x = 49,417,790,176.27
  5. Step 5: Solve for x
    x = 49,417,790,176.27/102,297.09
  6. Step 6: Final answer
    x = 483,081.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.