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Finding the Third Proportional to 45,164.63 and 98,371.88

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Solution

The third proportional to 45,164.63 and 98,371.88 is: 214,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,164.63 : 98,371.88 = 98,371.88 : x
  2. Step 2: Convert to fraction form
    45,164.63/98,371.88 = 98,371.88/x
  3. Step 3: Cross multiply
    45,164.63x = 98,371.88 × 98,371.88
  4. Step 4: Simplify right side
    45,164.63x = 9,677,025,791.02
  5. Step 5: Solve for x
    x = 9,677,025,791.02/45,164.63
  6. Step 6: Final answer
    x = 214,261.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.