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Finding the Third Proportional to 160,874,932 and 344,423,816

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Solution

The third proportional to 160,874,932 and 344,423,816 is: 737,391,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,874,932 : 344,423,816 = 344,423,816 : x
  2. Step 2: Convert to fraction form
    160,874,932/344,423,816 = 344,423,816/x
  3. Step 3: Cross multiply
    160,874,932x = 344,423,816 × 344,423,816
  4. Step 4: Simplify right side
    160,874,932x = 118,627,765,028,001,856
  5. Step 5: Solve for x
    x = 118,627,765,028,001,856/160,874,932
  6. Step 6: Final answer
    x = 737,391,236.49

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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.