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Finding the Third Proportional to 45,388.13 and 99,735.75

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Solution

The third proportional to 45,388.13 and 99,735.75 is: 219,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388.13 : 99,735.75 = 99,735.75 : x
  2. Step 2: Convert to fraction form
    45,388.13/99,735.75 = 99,735.75/x
  3. Step 3: Cross multiply
    45,388.13x = 99,735.75 × 99,735.75
  4. Step 4: Simplify right side
    45,388.13x = 9,947,219,828.06
  5. Step 5: Solve for x
    x = 9,947,219,828.06/45,388.13
  6. Step 6: Final answer
    x = 219,159.08

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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.