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Finding the Third Proportional to 69,422,700.66 and 144,591,477.38

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Solution

The third proportional to 69,422,700.66 and 144,591,477.38 is: 301,150,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,422,700.66 : 144,591,477.38 = 144,591,477.38 : x
  2. Step 2: Convert to fraction form
    69,422,700.66/144,591,477.38 = 144,591,477.38/x
  3. Step 3: Cross multiply
    69,422,700.66x = 144,591,477.38 × 144,591,477.38
  4. Step 4: Simplify right side
    69,422,700.66x = 20,906,695,329,485,136
  5. Step 5: Solve for x
    x = 20,906,695,329,485,136/69,422,700.66
  6. Step 6: Final answer
    x = 301,150,706.21

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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.