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Finding the Third Proportional to 141,798,226 and 307,796,822

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Solution

The third proportional to 141,798,226 and 307,796,822 is: 668,124,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,798,226 : 307,796,822 = 307,796,822 : x
  2. Step 2: Convert to fraction form
    141,798,226/307,796,822 = 307,796,822/x
  3. Step 3: Cross multiply
    141,798,226x = 307,796,822 × 307,796,822
  4. Step 4: Simplify right side
    141,798,226x = 94,738,883,633,299,680
  5. Step 5: Solve for x
    x = 94,738,883,633,299,680/141,798,226
  6. Step 6: Final answer
    x = 668,124,604.28

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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.