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Finding the Third Proportional to 46,284 and 98,382

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Solution

The third proportional to 46,284 and 98,382 is: 209,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284 : 98,382 = 98,382 : x
  2. Step 2: Convert to fraction form
    46,284/98,382 = 98,382/x
  3. Step 3: Cross multiply
    46,284x = 98,382 × 98,382
  4. Step 4: Simplify right side
    46,284x = 9,679,017,924
  5. Step 5: Solve for x
    x = 9,679,017,924/46,284
  6. Step 6: Final answer
    x = 209,122.33

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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.