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Finding the Third Proportional to 46,466 and 100,564

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Solution

The third proportional to 46,466 and 100,564 is: 217,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 100,564 = 100,564 : x
  2. Step 2: Convert to fraction form
    46,466/100,564 = 100,564/x
  3. Step 3: Cross multiply
    46,466x = 100,564 × 100,564
  4. Step 4: Simplify right side
    46,466x = 10,113,118,096
  5. Step 5: Solve for x
    x = 10,113,118,096/46,466
  6. Step 6: Final answer
    x = 217,645.55

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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.