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Finding the Third Proportional to 356,145,198.05 and 773,598,769.59

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Solution

The third proportional to 356,145,198.05 and 773,598,769.59 is: 1,680,368,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,145,198.05 : 773,598,769.59 = 773,598,769.59 : x
  2. Step 2: Convert to fraction form
    356,145,198.05/773,598,769.59 = 773,598,769.59/x
  3. Step 3: Cross multiply
    356,145,198.05x = 773,598,769.59 × 773,598,769.59
  4. Step 4: Simplify right side
    356,145,198.05x = 598,455,056,316,963,840
  5. Step 5: Solve for x
    x = 598,455,056,316,963,840/356,145,198.05
  6. Step 6: Final answer
    x = 1,680,368,174.55

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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.