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Finding the Third Proportional to 97,104 and 207,705

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Solution

The third proportional to 97,104 and 207,705 is: 444,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104 : 207,705 = 207,705 : x
  2. Step 2: Convert to fraction form
    97,104/207,705 = 207,705/x
  3. Step 3: Cross multiply
    97,104x = 207,705 × 207,705
  4. Step 4: Simplify right side
    97,104x = 43,141,367,025
  5. Step 5: Solve for x
    x = 43,141,367,025/97,104
  6. Step 6: Final answer
    x = 444,280.02

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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.