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Finding the Third Proportional to 218,050,849.50 and 478,468,896

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Solution

The third proportional to 218,050,849.50 and 478,468,896 is: 1,049,904,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,849.50 : 478,468,896 = 478,468,896 : x
  2. Step 2: Convert to fraction form
    218,050,849.50/478,468,896 = 478,468,896/x
  3. Step 3: Cross multiply
    218,050,849.50x = 478,468,896 × 478,468,896
  4. Step 4: Simplify right side
    218,050,849.50x = 228,932,484,439,458,816
  5. Step 5: Solve for x
    x = 228,932,484,439,458,816/218,050,849.50
  6. Step 6: Final answer
    x = 1,049,904,116.24

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Why These Related Problems?

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