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Finding the Third Proportional to 96,806.63 and 205,151.13

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Solution

The third proportional to 96,806.63 and 205,151.13 is: 434,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806.63 : 205,151.13 = 205,151.13 : x
  2. Step 2: Convert to fraction form
    96,806.63/205,151.13 = 205,151.13/x
  3. Step 3: Cross multiply
    96,806.63x = 205,151.13 × 205,151.13
  4. Step 4: Simplify right side
    96,806.63x = 42,086,984,088.77
  5. Step 5: Solve for x
    x = 42,086,984,088.77/96,806.63
  6. Step 6: Final answer
    x = 434,753.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.