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Finding the Third Proportional to 99,415.69 and 148,798.69

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Solution

The third proportional to 99,415.69 and 148,798.69 is: 222,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.69 : 148,798.69 = 148,798.69 : x
  2. Step 2: Convert to fraction form
    99,415.69/148,798.69 = 148,798.69/x
  3. Step 3: Cross multiply
    99,415.69x = 148,798.69 × 148,798.69
  4. Step 4: Simplify right side
    99,415.69x = 22,141,049,401.72
  5. Step 5: Solve for x
    x = 22,141,049,401.72/99,415.69
  6. Step 6: Final answer
    x = 222,711.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.