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Finding the Third Proportional to 43,770.75 and 96,051.38

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Solution

The third proportional to 43,770.75 and 96,051.38 is: 210,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770.75 : 96,051.38 = 96,051.38 : x
  2. Step 2: Convert to fraction form
    43,770.75/96,051.38 = 96,051.38/x
  3. Step 3: Cross multiply
    43,770.75x = 96,051.38 × 96,051.38
  4. Step 4: Simplify right side
    43,770.75x = 9,225,866,639.39
  5. Step 5: Solve for x
    x = 9,225,866,639.39/43,770.75
  6. Step 6: Final answer
    x = 210,776.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.