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Finding the Third Proportional to 144,910.69 and 221,675.06

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Solution

The third proportional to 144,910.69 and 221,675.06 is: 339,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910.69 : 221,675.06 = 221,675.06 : x
  2. Step 2: Convert to fraction form
    144,910.69/221,675.06 = 221,675.06/x
  3. Step 3: Cross multiply
    144,910.69x = 221,675.06 × 221,675.06
  4. Step 4: Simplify right side
    144,910.69x = 49,139,833,334.38
  5. Step 5: Solve for x
    x = 49,139,833,334.38/144,910.69
  6. Step 6: Final answer
    x = 339,104.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.