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Finding the Third Proportional to 98,956.27 and 215,673.89

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Solution

The third proportional to 98,956.27 and 215,673.89 is: 470,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,956.27 : 215,673.89 = 215,673.89 : x
  2. Step 2: Convert to fraction form
    98,956.27/215,673.89 = 215,673.89/x
  3. Step 3: Cross multiply
    98,956.27x = 215,673.89 × 215,673.89
  4. Step 4: Simplify right side
    98,956.27x = 46,515,227,097.32
  5. Step 5: Solve for x
    x = 46,515,227,097.32/98,956.27
  6. Step 6: Final answer
    x = 470,058.43

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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.