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Finding the Third Proportional to 85,968,993.38 and 188,826,840.28

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Solution

The third proportional to 85,968,993.38 and 188,826,840.28 is: 414,749,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,968,993.38 : 188,826,840.28 = 188,826,840.28 : x
  2. Step 2: Convert to fraction form
    85,968,993.38/188,826,840.28 = 188,826,840.28/x
  3. Step 3: Cross multiply
    85,968,993.38x = 188,826,840.28 × 188,826,840.28
  4. Step 4: Simplify right side
    85,968,993.38x = 35,655,575,610,600,696
  5. Step 5: Solve for x
    x = 35,655,575,610,600,696/85,968,993.38
  6. Step 6: Final answer
    x = 414,749,250.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.