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Finding the Third Proportional to 181,180,632.94 and 277,040,343.66

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Solution

The third proportional to 181,180,632.94 and 277,040,343.66 is: 423,617,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,180,632.94 : 277,040,343.66 = 277,040,343.66 : x
  2. Step 2: Convert to fraction form
    181,180,632.94/277,040,343.66 = 277,040,343.66/x
  3. Step 3: Cross multiply
    181,180,632.94x = 277,040,343.66 × 277,040,343.66
  4. Step 4: Simplify right side
    181,180,632.94x = 76,751,352,013,173,104
  5. Step 5: Solve for x
    x = 76,751,352,013,173,104/181,180,632.94
  6. Step 6: Final answer
    x = 423,617,860.08

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.