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Finding the Third Proportional to 77,078,128.08 and 181,896,550.17

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Solution

The third proportional to 77,078,128.08 and 181,896,550.17 is: 429,257,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078,128.08 : 181,896,550.17 = 181,896,550.17 : x
  2. Step 2: Convert to fraction form
    77,078,128.08/181,896,550.17 = 181,896,550.17/x
  3. Step 3: Cross multiply
    77,078,128.08x = 181,896,550.17 × 181,896,550.17
  4. Step 4: Simplify right side
    77,078,128.08x = 33,086,354,964,431,260
  5. Step 5: Solve for x
    x = 33,086,354,964,431,260/77,078,128.08
  6. Step 6: Final answer
    x = 429,257,375.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.