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Finding the Third Proportional to 144,109.13 and 230,217.19

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Solution

The third proportional to 144,109.13 and 230,217.19 is: 367,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,109.13 : 230,217.19 = 230,217.19 : x
  2. Step 2: Convert to fraction form
    144,109.13/230,217.19 = 230,217.19/x
  3. Step 3: Cross multiply
    144,109.13x = 230,217.19 × 230,217.19
  4. Step 4: Simplify right side
    144,109.13x = 52,999,953,420.41
  5. Step 5: Solve for x
    x = 52,999,953,420.41/144,109.13
  6. Step 6: Final answer
    x = 367,776.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.