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Finding the Third Proportional to 96,234,682.50 and 197,571,048

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Solution

The third proportional to 96,234,682.50 and 197,571,048 is: 405,615,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,682.50 : 197,571,048 = 197,571,048 : x
  2. Step 2: Convert to fraction form
    96,234,682.50/197,571,048 = 197,571,048/x
  3. Step 3: Cross multiply
    96,234,682.50x = 197,571,048 × 197,571,048
  4. Step 4: Simplify right side
    96,234,682.50x = 39,034,319,007,818,304
  5. Step 5: Solve for x
    x = 39,034,319,007,818,304/96,234,682.50
  6. Step 6: Final answer
    x = 405,615,917.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.