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Finding the Third Proportional to 98,593.45 and 215,844.75

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Solution

The third proportional to 98,593.45 and 215,844.75 is: 472,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,593.45 : 215,844.75 = 215,844.75 : x
  2. Step 2: Convert to fraction form
    98,593.45/215,844.75 = 215,844.75/x
  3. Step 3: Cross multiply
    98,593.45x = 215,844.75 × 215,844.75
  4. Step 4: Simplify right side
    98,593.45x = 46,588,956,102.56
  5. Step 5: Solve for x
    x = 46,588,956,102.56/98,593.45
  6. Step 6: Final answer
    x = 472,536.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.