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Finding the Third Proportional to 141,736,716 and 202,683,384

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Solution

The third proportional to 141,736,716 and 202,683,384 is: 289,837,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,736,716 : 202,683,384 = 202,683,384 : x
  2. Step 2: Convert to fraction form
    141,736,716/202,683,384 = 202,683,384/x
  3. Step 3: Cross multiply
    141,736,716x = 202,683,384 × 202,683,384
  4. Step 4: Simplify right side
    141,736,716x = 41,080,554,149,691,456
  5. Step 5: Solve for x
    x = 41,080,554,149,691,456/141,736,716
  6. Step 6: Final answer
    x = 289,837,067.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.