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Finding the Third Proportional to 181,684,156.75 and 398,542,756.75

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Solution

The third proportional to 181,684,156.75 and 398,542,756.75 is: 874,244,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,684,156.75 : 398,542,756.75 = 398,542,756.75 : x
  2. Step 2: Convert to fraction form
    181,684,156.75/398,542,756.75 = 398,542,756.75/x
  3. Step 3: Cross multiply
    181,684,156.75x = 398,542,756.75 × 398,542,756.75
  4. Step 4: Simplify right side
    181,684,156.75x = 158,836,328,957,889,664
  5. Step 5: Solve for x
    x = 158,836,328,957,889,664/181,684,156.75
  6. Step 6: Final answer
    x = 874,244,247.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.