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Finding the Third Proportional to 218,050,849.13 and 478,468,896.75

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Solution

The third proportional to 218,050,849.13 and 478,468,896.75 is: 1,049,904,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,849.13 : 478,468,896.75 = 478,468,896.75 : x
  2. Step 2: Convert to fraction form
    218,050,849.13/478,468,896.75 = 478,468,896.75/x
  3. Step 3: Cross multiply
    218,050,849.13x = 478,468,896.75 × 478,468,896.75
  4. Step 4: Simplify right side
    218,050,849.13x = 228,932,485,157,162,176
  5. Step 5: Solve for x
    x = 228,932,485,157,162,176/218,050,849.13
  6. Step 6: Final answer
    x = 1,049,904,121.34

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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.