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Finding the Third Proportional to 185,228,274.94 and 365,771,995.88

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Solution

The third proportional to 185,228,274.94 and 365,771,995.88 is: 722,293,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,228,274.94 : 365,771,995.88 = 365,771,995.88 : x
  2. Step 2: Convert to fraction form
    185,228,274.94/365,771,995.88 = 365,771,995.88/x
  3. Step 3: Cross multiply
    185,228,274.94x = 365,771,995.88 × 365,771,995.88
  4. Step 4: Simplify right side
    185,228,274.94x = 133,789,152,966,381,024
  5. Step 5: Solve for x
    x = 133,789,152,966,381,024/185,228,274.94
  6. Step 6: Final answer
    x = 722,293,359.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.