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Finding the Third Proportional to 98,476 and 214,769

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Solution

The third proportional to 98,476 and 214,769 is: 468,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476 : 214,769 = 214,769 : x
  2. Step 2: Convert to fraction form
    98,476/214,769 = 214,769/x
  3. Step 3: Cross multiply
    98,476x = 214,769 × 214,769
  4. Step 4: Simplify right side
    98,476x = 46,125,723,361
  5. Step 5: Solve for x
    x = 46,125,723,361/98,476
  6. Step 6: Final answer
    x = 468,395.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.