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Finding the Third Proportional to 46,464 and 98,922

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Solution

The third proportional to 46,464 and 98,922 is: 210,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,464 : 98,922 = 98,922 : x
  2. Step 2: Convert to fraction form
    46,464/98,922 = 98,922/x
  3. Step 3: Cross multiply
    46,464x = 98,922 × 98,922
  4. Step 4: Simplify right side
    46,464x = 9,785,562,084
  5. Step 5: Solve for x
    x = 9,785,562,084/46,464
  6. Step 6: Final answer
    x = 210,605.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.