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Finding the Third Proportional to 46,206 and 100,476

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Solution

The third proportional to 46,206 and 100,476 is: 218,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 100,476 = 100,476 : x
  2. Step 2: Convert to fraction form
    46,206/100,476 = 100,476/x
  3. Step 3: Cross multiply
    46,206x = 100,476 × 100,476
  4. Step 4: Simplify right side
    46,206x = 10,095,426,576
  5. Step 5: Solve for x
    x = 10,095,426,576/46,206
  6. Step 6: Final answer
    x = 218,487.35

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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.