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Finding the Third Proportional to 69,954,190.11 and 149,735,281.36

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Solution

The third proportional to 69,954,190.11 and 149,735,281.36 is: 320,504,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,954,190.11 : 149,735,281.36 = 149,735,281.36 : x
  2. Step 2: Convert to fraction form
    69,954,190.11/149,735,281.36 = 149,735,281.36/x
  3. Step 3: Cross multiply
    69,954,190.11x = 149,735,281.36 × 149,735,281.36
  4. Step 4: Simplify right side
    69,954,190.11x = 22,420,654,483,113,856
  5. Step 5: Solve for x
    x = 22,420,654,483,113,856/69,954,190.11
  6. Step 6: Final answer
    x = 320,504,811.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.