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Finding the Third Proportional to 98,966 and 215,692

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Solution

The third proportional to 98,966 and 215,692 is: 470,091.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 215,692 = 215,692 : x
  2. Step 2: Convert to fraction form
    98,966/215,692 = 215,692/x
  3. Step 3: Cross multiply
    98,966x = 215,692 × 215,692
  4. Step 4: Simplify right side
    98,966x = 46,523,038,864
  5. Step 5: Solve for x
    x = 46,523,038,864/98,966
  6. Step 6: Final answer
    x = 470,091.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.