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Finding the Third Proportional to 44,619.75 and 97,015.50

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Solution

The third proportional to 44,619.75 and 97,015.50 is: 210,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,619.75 : 97,015.50 = 97,015.50 : x
  2. Step 2: Convert to fraction form
    44,619.75/97,015.50 = 97,015.50/x
  3. Step 3: Cross multiply
    44,619.75x = 97,015.50 × 97,015.50
  4. Step 4: Simplify right side
    44,619.75x = 9,412,007,240.25
  5. Step 5: Solve for x
    x = 9,412,007,240.25/44,619.75
  6. Step 6: Final answer
    x = 210,938.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.