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Finding the Third Proportional to 107,110.69 and 234,849.38

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Solution

The third proportional to 107,110.69 and 234,849.38 is: 514,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,110.69 : 234,849.38 = 234,849.38 : x
  2. Step 2: Convert to fraction form
    107,110.69/234,849.38 = 234,849.38/x
  3. Step 3: Cross multiply
    107,110.69x = 234,849.38 × 234,849.38
  4. Step 4: Simplify right side
    107,110.69x = 55,154,228,937.89
  5. Step 5: Solve for x
    x = 55,154,228,937.89/107,110.69
  6. Step 6: Final answer
    x = 514,927.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.