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Finding the Third Proportional to 48,646.50 and 105,808.50

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Solution

The third proportional to 48,646.50 and 105,808.50 is: 230,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,646.50 : 105,808.50 = 105,808.50 : x
  2. Step 2: Convert to fraction form
    48,646.50/105,808.50 = 105,808.50/x
  3. Step 3: Cross multiply
    48,646.50x = 105,808.50 × 105,808.50
  4. Step 4: Simplify right side
    48,646.50x = 11,195,438,672.25
  5. Step 5: Solve for x
    x = 11,195,438,672.25/48,646.50
  6. Step 6: Final answer
    x = 230,138.63

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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.