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Finding the Third Proportional to 108,281,353.50 and 225,485,605.50

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Solution

The third proportional to 108,281,353.50 and 225,485,605.50 is: 469,552,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,281,353.50 : 225,485,605.50 = 225,485,605.50 : x
  2. Step 2: Convert to fraction form
    108,281,353.50/225,485,605.50 = 225,485,605.50/x
  3. Step 3: Cross multiply
    108,281,353.50x = 225,485,605.50 × 225,485,605.50
  4. Step 4: Simplify right side
    108,281,353.50x = 50,843,758,287,701,632
  5. Step 5: Solve for x
    x = 50,843,758,287,701,632/108,281,353.50
  6. Step 6: Final answer
    x = 469,552,297.27

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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.