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Finding the Third Proportional to 46,691 and 99,943

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Solution

The third proportional to 46,691 and 99,943 is: 213,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,691 : 99,943 = 99,943 : x
  2. Step 2: Convert to fraction form
    46,691/99,943 = 99,943/x
  3. Step 3: Cross multiply
    46,691x = 99,943 × 99,943
  4. Step 4: Simplify right side
    46,691x = 9,988,603,249
  5. Step 5: Solve for x
    x = 9,988,603,249/46,691
  6. Step 6: Final answer
    x = 213,929.95

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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.