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Finding the Third Proportional to 95,654 and 208,531.50

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Solution

The third proportional to 95,654 and 208,531.50 is: 454,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,654 : 208,531.50 = 208,531.50 : x
  2. Step 2: Convert to fraction form
    95,654/208,531.50 = 208,531.50/x
  3. Step 3: Cross multiply
    95,654x = 208,531.50 × 208,531.50
  4. Step 4: Simplify right side
    95,654x = 43,485,386,492.25
  5. Step 5: Solve for x
    x = 43,485,386,492.25/95,654
  6. Step 6: Final answer
    x = 454,611.27

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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.