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Finding the Third Proportional to 140,347.69 and 223,096.78

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Solution

The third proportional to 140,347.69 and 223,096.78 is: 354,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,347.69 : 223,096.78 = 223,096.78 : x
  2. Step 2: Convert to fraction form
    140,347.69/223,096.78 = 223,096.78/x
  3. Step 3: Cross multiply
    140,347.69x = 223,096.78 × 223,096.78
  4. Step 4: Simplify right side
    140,347.69x = 49,772,173,804.11
  5. Step 5: Solve for x
    x = 49,772,173,804.11/140,347.69
  6. Step 6: Final answer
    x = 354,634.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.