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Finding the Third Proportional to 44,608.22 and 96,567.19

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Solution

The third proportional to 44,608.22 and 96,567.19 is: 209,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,608.22 : 96,567.19 = 96,567.19 : x
  2. Step 2: Convert to fraction form
    44,608.22/96,567.19 = 96,567.19/x
  3. Step 3: Cross multiply
    44,608.22x = 96,567.19 × 96,567.19
  4. Step 4: Simplify right side
    44,608.22x = 9,325,221,701.66
  5. Step 5: Solve for x
    x = 9,325,221,701.66/44,608.22
  6. Step 6: Final answer
    x = 209,047.17

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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.