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Finding the Third Proportional to 96,807.66 and 209,703.94

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Solution

The third proportional to 96,807.66 and 209,703.94 is: 454,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,807.66 : 209,703.94 = 209,703.94 : x
  2. Step 2: Convert to fraction form
    96,807.66/209,703.94 = 209,703.94/x
  3. Step 3: Cross multiply
    96,807.66x = 209,703.94 × 209,703.94
  4. Step 4: Simplify right side
    96,807.66x = 43,975,741,403.00
  5. Step 5: Solve for x
    x = 43,975,741,403.00/96,807.66
  6. Step 6: Final answer
    x = 454,258.92

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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.