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Finding the Third Proportional to 46,193 and 99,597

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Solution

The third proportional to 46,193 and 99,597 is: 214,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,193 : 99,597 = 99,597 : x
  2. Step 2: Convert to fraction form
    46,193/99,597 = 99,597/x
  3. Step 3: Cross multiply
    46,193x = 99,597 × 99,597
  4. Step 4: Simplify right side
    46,193x = 9,919,562,409
  5. Step 5: Solve for x
    x = 9,919,562,409/46,193
  6. Step 6: Final answer
    x = 214,741.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.