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Finding the Third Proportional to 96,695.73 and 208,946.07

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Solution

The third proportional to 96,695.73 and 208,946.07 is: 451,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,695.73 : 208,946.07 = 208,946.07 : x
  2. Step 2: Convert to fraction form
    96,695.73/208,946.07 = 208,946.07/x
  3. Step 3: Cross multiply
    96,695.73x = 208,946.07 × 208,946.07
  4. Step 4: Simplify right side
    96,695.73x = 43,658,458,258.55
  5. Step 5: Solve for x
    x = 43,658,458,258.55/96,695.73
  6. Step 6: Final answer
    x = 451,503.49

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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.