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Finding the Third Proportional to 160,972,299 and 349,166,106

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Solution

The third proportional to 160,972,299 and 349,166,106 is: 757,378,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972,299 : 349,166,106 = 349,166,106 : x
  2. Step 2: Convert to fraction form
    160,972,299/349,166,106 = 349,166,106/x
  3. Step 3: Cross multiply
    160,972,299x = 349,166,106 × 349,166,106
  4. Step 4: Simplify right side
    160,972,299x = 121,916,969,579,203,232
  5. Step 5: Solve for x
    x = 121,916,969,579,203,232/160,972,299
  6. Step 6: Final answer
    x = 757,378,569.71

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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.