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Finding the Third Proportional to 44,570.50 and 98,983

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Solution

The third proportional to 44,570.50 and 98,983 is: 219,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,570.50 : 98,983 = 98,983 : x
  2. Step 2: Convert to fraction form
    44,570.50/98,983 = 98,983/x
  3. Step 3: Cross multiply
    44,570.50x = 98,983 × 98,983
  4. Step 4: Simplify right side
    44,570.50x = 9,797,634,289
  5. Step 5: Solve for x
    x = 9,797,634,289/44,570.50
  6. Step 6: Final answer
    x = 219,823.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.