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Finding the Third Proportional to 91,001,569.50 and 194,757,714

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Solution

The third proportional to 91,001,569.50 and 194,757,714 is: 416,812,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,001,569.50 : 194,757,714 = 194,757,714 : x
  2. Step 2: Convert to fraction form
    91,001,569.50/194,757,714 = 194,757,714/x
  3. Step 3: Cross multiply
    91,001,569.50x = 194,757,714 × 194,757,714
  4. Step 4: Simplify right side
    91,001,569.50x = 37,930,567,162,505,792
  5. Step 5: Solve for x
    x = 37,930,567,162,505,792/91,001,569.50
  6. Step 6: Final answer
    x = 416,812,230.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.