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Finding the Third Proportional to 46,634 and 99,922

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Solution

The third proportional to 46,634 and 99,922 is: 214,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634 : 99,922 = 99,922 : x
  2. Step 2: Convert to fraction form
    46,634/99,922 = 99,922/x
  3. Step 3: Cross multiply
    46,634x = 99,922 × 99,922
  4. Step 4: Simplify right side
    46,634x = 9,984,406,084
  5. Step 5: Solve for x
    x = 9,984,406,084/46,634
  6. Step 6: Final answer
    x = 214,101.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.