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Finding the Third Proportional to 144,109.13 and 229,041.42

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Solution

The third proportional to 144,109.13 and 229,041.42 is: 364,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,109.13 : 229,041.42 = 229,041.42 : x
  2. Step 2: Convert to fraction form
    144,109.13/229,041.42 = 229,041.42/x
  3. Step 3: Cross multiply
    144,109.13x = 229,041.42 × 229,041.42
  4. Step 4: Simplify right side
    144,109.13x = 52,459,972,934.52
  5. Step 5: Solve for x
    x = 52,459,972,934.52/144,109.13
  6. Step 6: Final answer
    x = 364,029.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.