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Finding the Third Proportional to 44,393.63 and 97,535.25

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Solution

The third proportional to 44,393.63 and 97,535.25 is: 214,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,393.63 : 97,535.25 = 97,535.25 : x
  2. Step 2: Convert to fraction form
    44,393.63/97,535.25 = 97,535.25/x
  3. Step 3: Cross multiply
    44,393.63x = 97,535.25 × 97,535.25
  4. Step 4: Simplify right side
    44,393.63x = 9,513,124,992.56
  5. Step 5: Solve for x
    x = 9,513,124,992.56/44,393.63
  6. Step 6: Final answer
    x = 214,290.34

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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.