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Finding the Third Proportional to 44,771 and 96,536.50

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Solution

The third proportional to 44,771 and 96,536.50 is: 208,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,771 : 96,536.50 = 96,536.50 : x
  2. Step 2: Convert to fraction form
    44,771/96,536.50 = 96,536.50/x
  3. Step 3: Cross multiply
    44,771x = 96,536.50 × 96,536.50
  4. Step 4: Simplify right side
    44,771x = 9,319,295,832.25
  5. Step 5: Solve for x
    x = 9,319,295,832.25/44,771
  6. Step 6: Final answer
    x = 208,154.74

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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.