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Finding the Third Proportional to 98,595 and 215,847.75

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Solution

The third proportional to 98,595 and 215,847.75 is: 472,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,595 : 215,847.75 = 215,847.75 : x
  2. Step 2: Convert to fraction form
    98,595/215,847.75 = 215,847.75/x
  3. Step 3: Cross multiply
    98,595x = 215,847.75 × 215,847.75
  4. Step 4: Simplify right side
    98,595x = 46,590,251,180.06
  5. Step 5: Solve for x
    x = 46,590,251,180.06/98,595
  6. Step 6: Final answer
    x = 472,541.72

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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.