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Finding the Third Proportional to 148,987.69 and 191,296.69

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Solution

The third proportional to 148,987.69 and 191,296.69 is: 245,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,987.69 : 191,296.69 = 191,296.69 : x
  2. Step 2: Convert to fraction form
    148,987.69/191,296.69 = 191,296.69/x
  3. Step 3: Cross multiply
    148,987.69x = 191,296.69 × 191,296.69
  4. Step 4: Simplify right side
    148,987.69x = 36,594,422,648.47
  5. Step 5: Solve for x
    x = 36,594,422,648.47/148,987.69
  6. Step 6: Final answer
    x = 245,620.45

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.