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Finding the Third Proportional to 99,402 and 212,838

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Solution

The third proportional to 99,402 and 212,838 is: 455,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,402 : 212,838 = 212,838 : x
  2. Step 2: Convert to fraction form
    99,402/212,838 = 212,838/x
  3. Step 3: Cross multiply
    99,402x = 212,838 × 212,838
  4. Step 4: Simplify right side
    99,402x = 45,300,014,244
  5. Step 5: Solve for x
    x = 45,300,014,244/99,402
  6. Step 6: Final answer
    x = 455,725.38

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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.