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Finding the Third Proportional to 98,581.11 and 214,461.74

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Solution

The third proportional to 98,581.11 and 214,461.74 is: 466,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,581.11 : 214,461.74 = 214,461.74 : x
  2. Step 2: Convert to fraction form
    98,581.11/214,461.74 = 214,461.74/x
  3. Step 3: Cross multiply
    98,581.11x = 214,461.74 × 214,461.74
  4. Step 4: Simplify right side
    98,581.11x = 45,993,837,186.62
  5. Step 5: Solve for x
    x = 45,993,837,186.62/98,581.11
  6. Step 6: Final answer
    x = 466,558.31

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Why These Related Problems?

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