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Finding the Third Proportional to 148,096.69 and 223,453.69

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Solution

The third proportional to 148,096.69 and 223,453.69 is: 337,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,096.69 : 223,453.69 = 223,453.69 : x
  2. Step 2: Convert to fraction form
    148,096.69/223,453.69 = 223,453.69/x
  3. Step 3: Cross multiply
    148,096.69x = 223,453.69 × 223,453.69
  4. Step 4: Simplify right side
    148,096.69x = 49,931,550,457.35
  5. Step 5: Solve for x
    x = 49,931,550,457.35/148,096.69
  6. Step 6: Final answer
    x = 337,155.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.