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Finding the Third Proportional to 98,391 and 215,250

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Solution

The third proportional to 98,391 and 215,250 is: 470,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,391 : 215,250 = 215,250 : x
  2. Step 2: Convert to fraction form
    98,391/215,250 = 215,250/x
  3. Step 3: Cross multiply
    98,391x = 215,250 × 215,250
  4. Step 4: Simplify right side
    98,391x = 46,332,562,500
  5. Step 5: Solve for x
    x = 46,332,562,500/98,391
  6. Step 6: Final answer
    x = 470,902.45

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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.