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Finding the Third Proportional to 46,306 and 99,192

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Solution

The third proportional to 46,306 and 99,192 is: 212,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,306 : 99,192 = 99,192 : x
  2. Step 2: Convert to fraction form
    46,306/99,192 = 99,192/x
  3. Step 3: Cross multiply
    46,306x = 99,192 × 99,192
  4. Step 4: Simplify right side
    46,306x = 9,839,052,864
  5. Step 5: Solve for x
    x = 9,839,052,864/46,306
  6. Step 6: Final answer
    x = 212,479.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.