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Finding the Third Proportional to 75,551,222 and 165,195,472

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Solution

The third proportional to 75,551,222 and 165,195,472 is: 361,205,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,551,222 : 165,195,472 = 165,195,472 : x
  2. Step 2: Convert to fraction form
    75,551,222/165,195,472 = 165,195,472/x
  3. Step 3: Cross multiply
    75,551,222x = 165,195,472 × 165,195,472
  4. Step 4: Simplify right side
    75,551,222x = 27,289,543,969,302,784
  5. Step 5: Solve for x
    x = 27,289,543,969,302,784/75,551,222
  6. Step 6: Final answer
    x = 361,205,858.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.