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Finding the Third Proportional to 44,816 and 93,948

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Solution

The third proportional to 44,816 and 93,948 is: 196,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,816 : 93,948 = 93,948 : x
  2. Step 2: Convert to fraction form
    44,816/93,948 = 93,948/x
  3. Step 3: Cross multiply
    44,816x = 93,948 × 93,948
  4. Step 4: Simplify right side
    44,816x = 8,826,226,704
  5. Step 5: Solve for x
    x = 8,826,226,704/44,816
  6. Step 6: Final answer
    x = 196,943.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.