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Finding the Third Proportional to 95,913 and 208,687.50

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Solution

The third proportional to 95,913 and 208,687.50 is: 454,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,913 : 208,687.50 = 208,687.50 : x
  2. Step 2: Convert to fraction form
    95,913/208,687.50 = 208,687.50/x
  3. Step 3: Cross multiply
    95,913x = 208,687.50 × 208,687.50
  4. Step 4: Simplify right side
    95,913x = 43,550,472,656.25
  5. Step 5: Solve for x
    x = 43,550,472,656.25/95,913
  6. Step 6: Final answer
    x = 454,062.25

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