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Finding the Third Proportional to 46,635 and 99,919

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Solution

The third proportional to 46,635 and 99,919 is: 214,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,635 : 99,919 = 99,919 : x
  2. Step 2: Convert to fraction form
    46,635/99,919 = 99,919/x
  3. Step 3: Cross multiply
    46,635x = 99,919 × 99,919
  4. Step 4: Simplify right side
    46,635x = 9,983,806,561
  5. Step 5: Solve for x
    x = 9,983,806,561/46,635
  6. Step 6: Final answer
    x = 214,083.98

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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.