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Finding the Third Proportional to 47,291.50 and 96,770

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Solution

The third proportional to 47,291.50 and 96,770 is: 198,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,291.50 : 96,770 = 96,770 : x
  2. Step 2: Convert to fraction form
    47,291.50/96,770 = 96,770/x
  3. Step 3: Cross multiply
    47,291.50x = 96,770 × 96,770
  4. Step 4: Simplify right side
    47,291.50x = 9,364,432,900
  5. Step 5: Solve for x
    x = 9,364,432,900/47,291.50
  6. Step 6: Final answer
    x = 198,015.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.