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Finding the Third Proportional to 91,705 and 200,905

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Solution

The third proportional to 91,705 and 200,905 is: 440,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,705 : 200,905 = 200,905 : x
  2. Step 2: Convert to fraction form
    91,705/200,905 = 200,905/x
  3. Step 3: Cross multiply
    91,705x = 200,905 × 200,905
  4. Step 4: Simplify right side
    91,705x = 40,362,819,025
  5. Step 5: Solve for x
    x = 40,362,819,025/91,705
  6. Step 6: Final answer
    x = 440,137.60

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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.