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Finding the Third Proportional to 44,036.50 and 98,158

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Solution

The third proportional to 44,036.50 and 98,158 is: 218,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,036.50 : 98,158 = 98,158 : x
  2. Step 2: Convert to fraction form
    44,036.50/98,158 = 98,158/x
  3. Step 3: Cross multiply
    44,036.50x = 98,158 × 98,158
  4. Step 4: Simplify right side
    44,036.50x = 9,634,992,964
  5. Step 5: Solve for x
    x = 9,634,992,964/44,036.50
  6. Step 6: Final answer
    x = 218,795.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.