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Finding the Third Proportional to 46,552 and 100,486

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Solution

The third proportional to 46,552 and 100,486 is: 216,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,552 : 100,486 = 100,486 : x
  2. Step 2: Convert to fraction form
    46,552/100,486 = 100,486/x
  3. Step 3: Cross multiply
    46,552x = 100,486 × 100,486
  4. Step 4: Simplify right side
    46,552x = 10,097,436,196
  5. Step 5: Solve for x
    x = 10,097,436,196/46,552
  6. Step 6: Final answer
    x = 216,906.60

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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.