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Finding the Third Proportional to 213,893.16 and 465,033.66

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Solution

The third proportional to 213,893.16 and 465,033.66 is: 1,011,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,893.16 : 465,033.66 = 465,033.66 : x
  2. Step 2: Convert to fraction form
    213,893.16/465,033.66 = 465,033.66/x
  3. Step 3: Cross multiply
    213,893.16x = 465,033.66 × 465,033.66
  4. Step 4: Simplify right side
    213,893.16x = 216,256,301,445.24
  5. Step 5: Solve for x
    x = 216,256,301,445.24/213,893.16
  6. Step 6: Final answer
    x = 1,011,048.25

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Why These Related Problems?

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