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Finding the Third Proportional to 101,014 and 212,468

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Solution

The third proportional to 101,014 and 212,468 is: 446,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014 : 212,468 = 212,468 : x
  2. Step 2: Convert to fraction form
    101,014/212,468 = 212,468/x
  3. Step 3: Cross multiply
    101,014x = 212,468 × 212,468
  4. Step 4: Simplify right side
    101,014x = 45,142,651,024
  5. Step 5: Solve for x
    x = 45,142,651,024/101,014
  6. Step 6: Final answer
    x = 446,894.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.