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Finding the Third Proportional to 160,015,493.25 and 349,105,065.75

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Solution

The third proportional to 160,015,493.25 and 349,105,065.75 is: 761,640,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,493.25 : 349,105,065.75 = 349,105,065.75 : x
  2. Step 2: Convert to fraction form
    160,015,493.25/349,105,065.75 = 349,105,065.75/x
  3. Step 3: Cross multiply
    160,015,493.25x = 349,105,065.75 × 349,105,065.75
  4. Step 4: Simplify right side
    160,015,493.25x = 121,874,346,932,311,824
  5. Step 5: Solve for x
    x = 121,874,346,932,311,824/160,015,493.25
  6. Step 6: Final answer
    x = 761,640,916.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.