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Finding the Third Proportional to 44,678.25 and 96,221

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Solution

The third proportional to 44,678.25 and 96,221 is: 207,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,678.25 : 96,221 = 96,221 : x
  2. Step 2: Convert to fraction form
    44,678.25/96,221 = 96,221/x
  3. Step 3: Cross multiply
    44,678.25x = 96,221 × 96,221
  4. Step 4: Simplify right side
    44,678.25x = 9,258,480,841
  5. Step 5: Solve for x
    x = 9,258,480,841/44,678.25
  6. Step 6: Final answer
    x = 207,225.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.