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Finding the Third Proportional to 99,425 and 215,788

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Solution

The third proportional to 99,425 and 215,788 is: 468,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,425 : 215,788 = 215,788 : x
  2. Step 2: Convert to fraction form
    99,425/215,788 = 215,788/x
  3. Step 3: Cross multiply
    99,425x = 215,788 × 215,788
  4. Step 4: Simplify right side
    99,425x = 46,564,460,944
  5. Step 5: Solve for x
    x = 46,564,460,944/99,425
  6. Step 6: Final answer
    x = 468,337.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.