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Finding the Third Proportional to 105,806.25 and 163,898.44

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Solution

The third proportional to 105,806.25 and 163,898.44 is: 253,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,806.25 : 163,898.44 = 163,898.44 : x
  2. Step 2: Convert to fraction form
    105,806.25/163,898.44 = 163,898.44/x
  3. Step 3: Cross multiply
    105,806.25x = 163,898.44 × 163,898.44
  4. Step 4: Simplify right side
    105,806.25x = 26,862,697,814.94
  5. Step 5: Solve for x
    x = 26,862,697,814.94/105,806.25
  6. Step 6: Final answer
    x = 253,885.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.