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Finding the Third Proportional to 98,767.13 and 213,328.13

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Solution

The third proportional to 98,767.13 and 213,328.13 is: 460,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,767.13 : 213,328.13 = 213,328.13 : x
  2. Step 2: Convert to fraction form
    98,767.13/213,328.13 = 213,328.13/x
  3. Step 3: Cross multiply
    98,767.13x = 213,328.13 × 213,328.13
  4. Step 4: Simplify right side
    98,767.13x = 45,508,888,916.02
  5. Step 5: Solve for x
    x = 45,508,888,916.02/98,767.13
  6. Step 6: Final answer
    x = 460,769.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.