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Finding the Third Proportional to 218,050,852 and 478,468,899

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Solution

The third proportional to 218,050,852 and 478,468,899 is: 1,049,904,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,852 : 478,468,899 = 478,468,899 : x
  2. Step 2: Convert to fraction form
    218,050,852/478,468,899 = 478,468,899/x
  3. Step 3: Cross multiply
    218,050,852x = 478,468,899 × 478,468,899
  4. Step 4: Simplify right side
    218,050,852x = 228,932,487,310,272,192
  5. Step 5: Solve for x
    x = 228,932,487,310,272,192/218,050,852
  6. Step 6: Final answer
    x = 1,049,904,117.37

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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.