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Finding the Third Proportional to 98,997.75 and 210,264.75

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Solution

The third proportional to 98,997.75 and 210,264.75 is: 446,588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,997.75 : 210,264.75 = 210,264.75 : x
  2. Step 2: Convert to fraction form
    98,997.75/210,264.75 = 210,264.75/x
  3. Step 3: Cross multiply
    98,997.75x = 210,264.75 × 210,264.75
  4. Step 4: Simplify right side
    98,997.75x = 44,211,265,092.56
  5. Step 5: Solve for x
    x = 44,211,265,092.56/98,997.75
  6. Step 6: Final answer
    x = 446,588.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.