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Finding the Third Proportional to 44,879.50 and 97,188.50

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Solution

The third proportional to 44,879.50 and 97,188.50 is: 210,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,879.50 : 97,188.50 = 97,188.50 : x
  2. Step 2: Convert to fraction form
    44,879.50/97,188.50 = 97,188.50/x
  3. Step 3: Cross multiply
    44,879.50x = 97,188.50 × 97,188.50
  4. Step 4: Simplify right side
    44,879.50x = 9,445,604,532.25
  5. Step 5: Solve for x
    x = 9,445,604,532.25/44,879.50
  6. Step 6: Final answer
    x = 210,465.90

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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.