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Finding the Third Proportional to 98,595.75 and 215,850

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Solution

The third proportional to 98,595.75 and 215,850 is: 472,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,595.75 : 215,850 = 215,850 : x
  2. Step 2: Convert to fraction form
    98,595.75/215,850 = 215,850/x
  3. Step 3: Cross multiply
    98,595.75x = 215,850 × 215,850
  4. Step 4: Simplify right side
    98,595.75x = 46,591,222,500
  5. Step 5: Solve for x
    x = 46,591,222,500/98,595.75
  6. Step 6: Final answer
    x = 472,547.98

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