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Finding the Third Proportional to 44,766 and 96,536.25

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Solution

The third proportional to 44,766 and 96,536.25 is: 208,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,766 : 96,536.25 = 96,536.25 : x
  2. Step 2: Convert to fraction form
    44,766/96,536.25 = 96,536.25/x
  3. Step 3: Cross multiply
    44,766x = 96,536.25 × 96,536.25
  4. Step 4: Simplify right side
    44,766x = 9,319,247,564.06
  5. Step 5: Solve for x
    x = 9,319,247,564.06/44,766
  6. Step 6: Final answer
    x = 208,176.91

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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.