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Finding the Third Proportional to 46,466 and 100,382

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Solution

The third proportional to 46,466 and 100,382 is: 216,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 100,382 = 100,382 : x
  2. Step 2: Convert to fraction form
    46,466/100,382 = 100,382/x
  3. Step 3: Cross multiply
    46,466x = 100,382 × 100,382
  4. Step 4: Simplify right side
    46,466x = 10,076,545,924
  5. Step 5: Solve for x
    x = 10,076,545,924/46,466
  6. Step 6: Final answer
    x = 216,858.48

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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.