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Finding the Third Proportional to 90,714 and 197,553

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Solution

The third proportional to 90,714 and 197,553 is: 430,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,714 : 197,553 = 197,553 : x
  2. Step 2: Convert to fraction form
    90,714/197,553 = 197,553/x
  3. Step 3: Cross multiply
    90,714x = 197,553 × 197,553
  4. Step 4: Simplify right side
    90,714x = 39,027,187,809
  5. Step 5: Solve for x
    x = 39,027,187,809/90,714
  6. Step 6: Final answer
    x = 430,222.32

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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.