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Finding the Third Proportional to 97,640 and 203,055.50

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Solution

The third proportional to 97,640 and 203,055.50 is: 422,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640 : 203,055.50 = 203,055.50 : x
  2. Step 2: Convert to fraction form
    97,640/203,055.50 = 203,055.50/x
  3. Step 3: Cross multiply
    97,640x = 203,055.50 × 203,055.50
  4. Step 4: Simplify right side
    97,640x = 41,231,536,080.25
  5. Step 5: Solve for x
    x = 41,231,536,080.25/97,640
  6. Step 6: Final answer
    x = 422,281.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.