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Finding the Third Proportional to 40,488 and 88,948

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Solution

The third proportional to 40,488 and 88,948 is: 195,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,488 : 88,948 = 88,948 : x
  2. Step 2: Convert to fraction form
    40,488/88,948 = 88,948/x
  3. Step 3: Cross multiply
    40,488x = 88,948 × 88,948
  4. Step 4: Simplify right side
    40,488x = 7,911,746,704
  5. Step 5: Solve for x
    x = 7,911,746,704/40,488
  6. Step 6: Final answer
    x = 195,409.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.