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Finding the Third Proportional to 53,204.34 and 108,869.06

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Solution

The third proportional to 53,204.34 and 108,869.06 is: 222,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.34 : 108,869.06 = 108,869.06 : x
  2. Step 2: Convert to fraction form
    53,204.34/108,869.06 = 108,869.06/x
  3. Step 3: Cross multiply
    53,204.34x = 108,869.06 × 108,869.06
  4. Step 4: Simplify right side
    53,204.34x = 11,852,472,769.63
  5. Step 5: Solve for x
    x = 11,852,472,769.63/53,204.34
  6. Step 6: Final answer
    x = 222,772.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.