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Finding the Third Proportional to 45,533 and 99,368

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Solution

The third proportional to 45,533 and 99,368 is: 216,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,533 : 99,368 = 99,368 : x
  2. Step 2: Convert to fraction form
    45,533/99,368 = 99,368/x
  3. Step 3: Cross multiply
    45,533x = 99,368 × 99,368
  4. Step 4: Simplify right side
    45,533x = 9,873,999,424
  5. Step 5: Solve for x
    x = 9,873,999,424/45,533
  6. Step 6: Final answer
    x = 216,853.70

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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.