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Finding the Third Proportional to 44,292.45 and 97,201.90

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Solution

The third proportional to 44,292.45 and 97,201.90 is: 213,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,292.45 : 97,201.90 = 97,201.90 : x
  2. Step 2: Convert to fraction form
    44,292.45/97,201.90 = 97,201.90/x
  3. Step 3: Cross multiply
    44,292.45x = 97,201.90 × 97,201.90
  4. Step 4: Simplify right side
    44,292.45x = 9,448,209,059.85
  5. Step 5: Solve for x
    x = 9,448,209,059.85/44,292.45
  6. Step 6: Final answer
    x = 213,314.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.