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Finding the Third Proportional to 160,015,149 and 349,104,393

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Solution

The third proportional to 160,015,149 and 349,104,393 is: 761,639,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,149 : 349,104,393 = 349,104,393 : x
  2. Step 2: Convert to fraction form
    160,015,149/349,104,393 = 349,104,393/x
  3. Step 3: Cross multiply
    160,015,149x = 349,104,393 × 349,104,393
  4. Step 4: Simplify right side
    160,015,149x = 121,873,877,211,898,448
  5. Step 5: Solve for x
    x = 121,873,877,211,898,448/160,015,149
  6. Step 6: Final answer
    x = 761,639,619.58

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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.