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Finding the Third Proportional to 105,762.75 and 230,818.50

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Solution

The third proportional to 105,762.75 and 230,818.50 is: 503,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.75 : 230,818.50 = 230,818.50 : x
  2. Step 2: Convert to fraction form
    105,762.75/230,818.50 = 230,818.50/x
  3. Step 3: Cross multiply
    105,762.75x = 230,818.50 × 230,818.50
  4. Step 4: Simplify right side
    105,762.75x = 53,277,179,942.25
  5. Step 5: Solve for x
    x = 53,277,179,942.25/105,762.75
  6. Step 6: Final answer
    x = 503,742.39

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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.