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Finding the Third Proportional to 46,532 and 100,788

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Solution

The third proportional to 46,532 and 100,788 is: 218,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,532 : 100,788 = 100,788 : x
  2. Step 2: Convert to fraction form
    46,532/100,788 = 100,788/x
  3. Step 3: Cross multiply
    46,532x = 100,788 × 100,788
  4. Step 4: Simplify right side
    46,532x = 10,158,220,944
  5. Step 5: Solve for x
    x = 10,158,220,944/46,532
  6. Step 6: Final answer
    x = 218,306.13

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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.