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Finding the Third Proportional to 46,407 and 100,206

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Solution

The third proportional to 46,407 and 100,206 is: 216,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,407 : 100,206 = 100,206 : x
  2. Step 2: Convert to fraction form
    46,407/100,206 = 100,206/x
  3. Step 3: Cross multiply
    46,407x = 100,206 × 100,206
  4. Step 4: Simplify right side
    46,407x = 10,041,242,436
  5. Step 5: Solve for x
    x = 10,041,242,436/46,407
  6. Step 6: Final answer
    x = 216,373.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.