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Finding the Third Proportional to 98,444 and 210,892

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Solution

The third proportional to 98,444 and 210,892 is: 451,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,444 : 210,892 = 210,892 : x
  2. Step 2: Convert to fraction form
    98,444/210,892 = 210,892/x
  3. Step 3: Cross multiply
    98,444x = 210,892 × 210,892
  4. Step 4: Simplify right side
    98,444x = 44,475,435,664
  5. Step 5: Solve for x
    x = 44,475,435,664/98,444
  6. Step 6: Final answer
    x = 451,784.12

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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.