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Finding the Third Proportional to 101,864,425.50 and 220,954,999.50

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Solution

The third proportional to 101,864,425.50 and 220,954,999.50 is: 479,275,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864,425.50 : 220,954,999.50 = 220,954,999.50 : x
  2. Step 2: Convert to fraction form
    101,864,425.50/220,954,999.50 = 220,954,999.50/x
  3. Step 3: Cross multiply
    101,864,425.50x = 220,954,999.50 × 220,954,999.50
  4. Step 4: Simplify right side
    101,864,425.50x = 48,821,111,804,045,000
  5. Step 5: Solve for x
    x = 48,821,111,804,045,000/101,864,425.50
  6. Step 6: Final answer
    x = 479,275,385.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.