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Finding the Third Proportional to 95,736 and 208,258.50

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Solution

The third proportional to 95,736 and 208,258.50 is: 453,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,736 : 208,258.50 = 208,258.50 : x
  2. Step 2: Convert to fraction form
    95,736/208,258.50 = 208,258.50/x
  3. Step 3: Cross multiply
    95,736x = 208,258.50 × 208,258.50
  4. Step 4: Simplify right side
    95,736x = 43,371,602,822.25
  5. Step 5: Solve for x
    x = 43,371,602,822.25/95,736
  6. Step 6: Final answer
    x = 453,033.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.