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Finding the Third Proportional to 96,421 and 210,914

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Solution

The third proportional to 96,421 and 210,914 is: 461,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,421 : 210,914 = 210,914 : x
  2. Step 2: Convert to fraction form
    96,421/210,914 = 210,914/x
  3. Step 3: Cross multiply
    96,421x = 210,914 × 210,914
  4. Step 4: Simplify right side
    96,421x = 44,484,715,396
  5. Step 5: Solve for x
    x = 44,484,715,396/96,421
  6. Step 6: Final answer
    x = 461,359.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.