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Finding the Third Proportional to 45,426.75 and 99,807.75

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Solution

The third proportional to 45,426.75 and 99,807.75 is: 219,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,426.75 : 99,807.75 = 99,807.75 : x
  2. Step 2: Convert to fraction form
    45,426.75/99,807.75 = 99,807.75/x
  3. Step 3: Cross multiply
    45,426.75x = 99,807.75 × 99,807.75
  4. Step 4: Simplify right side
    45,426.75x = 9,961,586,960.06
  5. Step 5: Solve for x
    x = 9,961,586,960.06/45,426.75
  6. Step 6: Final answer
    x = 219,289.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.