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Finding the Third Proportional to 109,720.25 and 235,808.63

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Solution

The third proportional to 109,720.25 and 235,808.63 is: 506,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,720.25 : 235,808.63 = 235,808.63 : x
  2. Step 2: Convert to fraction form
    109,720.25/235,808.63 = 235,808.63/x
  3. Step 3: Cross multiply
    109,720.25x = 235,808.63 × 235,808.63
  4. Step 4: Simplify right side
    109,720.25x = 55,605,707,624.39
  5. Step 5: Solve for x
    x = 55,605,707,624.39/109,720.25
  6. Step 6: Final answer
    x = 506,795.31

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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.