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Finding the Third Proportional to 98,476 and 147,684

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Solution

The third proportional to 98,476 and 147,684 is: 221,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476 : 147,684 = 147,684 : x
  2. Step 2: Convert to fraction form
    98,476/147,684 = 147,684/x
  3. Step 3: Cross multiply
    98,476x = 147,684 × 147,684
  4. Step 4: Simplify right side
    98,476x = 21,810,563,856
  5. Step 5: Solve for x
    x = 21,810,563,856/98,476
  6. Step 6: Final answer
    x = 221,481.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.