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Finding the Third Proportional to 100,235,967.75 and 159,496,786.13

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Solution

The third proportional to 100,235,967.75 and 159,496,786.13 is: 253,793,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,967.75 : 159,496,786.13 = 159,496,786.13 : x
  2. Step 2: Convert to fraction form
    100,235,967.75/159,496,786.13 = 159,496,786.13/x
  3. Step 3: Cross multiply
    100,235,967.75x = 159,496,786.13 × 159,496,786.13
  4. Step 4: Simplify right side
    100,235,967.75x = 25,439,224,784,203,992
  5. Step 5: Solve for x
    x = 25,439,224,784,203,992/100,235,967.75
  6. Step 6: Final answer
    x = 253,793,377.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.