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Finding the Third Proportional to 68,219.88 and 148,365.74

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Solution

The third proportional to 68,219.88 and 148,365.74 is: 322,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,219.88 : 148,365.74 = 148,365.74 : x
  2. Step 2: Convert to fraction form
    68,219.88/148,365.74 = 148,365.74/x
  3. Step 3: Cross multiply
    68,219.88x = 148,365.74 × 148,365.74
  4. Step 4: Simplify right side
    68,219.88x = 22,012,392,295.74
  5. Step 5: Solve for x
    x = 22,012,392,295.74/68,219.88
  6. Step 6: Final answer
    x = 322,668.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.