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Finding the Third Proportional to 46,068 and 100,460

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Solution

The third proportional to 46,068 and 100,460 is: 219,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,068 : 100,460 = 100,460 : x
  2. Step 2: Convert to fraction form
    46,068/100,460 = 100,460/x
  3. Step 3: Cross multiply
    46,068x = 100,460 × 100,460
  4. Step 4: Simplify right side
    46,068x = 10,092,211,600
  5. Step 5: Solve for x
    x = 10,092,211,600/46,068
  6. Step 6: Final answer
    x = 219,072.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.