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Finding the Third Proportional to 45,322 and 99,707

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Solution

The third proportional to 45,322 and 99,707 is: 219,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 99,707 = 99,707 : x
  2. Step 2: Convert to fraction form
    45,322/99,707 = 99,707/x
  3. Step 3: Cross multiply
    45,322x = 99,707 × 99,707
  4. Step 4: Simplify right side
    45,322x = 9,941,485,849
  5. Step 5: Solve for x
    x = 9,941,485,849/45,322
  6. Step 6: Final answer
    x = 219,352.32

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Why These Related Problems?

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