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Finding the Third Proportional to 214,316.44 and 460,891.13

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Solution

The third proportional to 214,316.44 and 460,891.13 is: 991,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,316.44 : 460,891.13 = 460,891.13 : x
  2. Step 2: Convert to fraction form
    214,316.44/460,891.13 = 460,891.13/x
  3. Step 3: Cross multiply
    214,316.44x = 460,891.13 × 460,891.13
  4. Step 4: Simplify right side
    214,316.44x = 212,420,629,103.77
  5. Step 5: Solve for x
    x = 212,420,629,103.77/214,316.44
  6. Step 6: Final answer
    x = 991,154.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.