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Finding the Third Proportional to 45,501.75 and 98,394.75

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Solution

The third proportional to 45,501.75 and 98,394.75 is: 212,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,501.75 : 98,394.75 = 98,394.75 : x
  2. Step 2: Convert to fraction form
    45,501.75/98,394.75 = 98,394.75/x
  3. Step 3: Cross multiply
    45,501.75x = 98,394.75 × 98,394.75
  4. Step 4: Simplify right side
    45,501.75x = 9,681,526,827.56
  5. Step 5: Solve for x
    x = 9,681,526,827.56/45,501.75
  6. Step 6: Final answer
    x = 212,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.