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Finding the Third Proportional to 46,522 and 100,844

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Solution

The third proportional to 46,522 and 100,844 is: 218,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,522 : 100,844 = 100,844 : x
  2. Step 2: Convert to fraction form
    46,522/100,844 = 100,844/x
  3. Step 3: Cross multiply
    46,522x = 100,844 × 100,844
  4. Step 4: Simplify right side
    46,522x = 10,169,512,336
  5. Step 5: Solve for x
    x = 10,169,512,336/46,522
  6. Step 6: Final answer
    x = 218,595.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.