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Finding the Third Proportional to 95,659 and 208,541.50

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Solution

The third proportional to 95,659 and 208,541.50 is: 454,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,659 : 208,541.50 = 208,541.50 : x
  2. Step 2: Convert to fraction form
    95,659/208,541.50 = 208,541.50/x
  3. Step 3: Cross multiply
    95,659x = 208,541.50 × 208,541.50
  4. Step 4: Simplify right side
    95,659x = 43,489,557,222.25
  5. Step 5: Solve for x
    x = 43,489,557,222.25/95,659
  6. Step 6: Final answer
    x = 454,631.11

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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.