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Finding the Third Proportional to 46,479 and 101,829

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Solution

The third proportional to 46,479 and 101,829 is: 223,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,479 : 101,829 = 101,829 : x
  2. Step 2: Convert to fraction form
    46,479/101,829 = 101,829/x
  3. Step 3: Cross multiply
    46,479x = 101,829 × 101,829
  4. Step 4: Simplify right side
    46,479x = 10,369,145,241
  5. Step 5: Solve for x
    x = 10,369,145,241/46,479
  6. Step 6: Final answer
    x = 223,093.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.