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Finding the Third Proportional to 102,805.03 and 229,248.35

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Solution

The third proportional to 102,805.03 and 229,248.35 is: 511,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.03 : 229,248.35 = 229,248.35 : x
  2. Step 2: Convert to fraction form
    102,805.03/229,248.35 = 229,248.35/x
  3. Step 3: Cross multiply
    102,805.03x = 229,248.35 × 229,248.35
  4. Step 4: Simplify right side
    102,805.03x = 52,554,806,694.12
  5. Step 5: Solve for x
    x = 52,554,806,694.12/102,805.03
  6. Step 6: Final answer
    x = 511,208.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.