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Finding the Third Proportional to 218,050,841.25 and 478,468,879.88

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Solution

The third proportional to 218,050,841.25 and 478,468,879.88 is: 1,049,904,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,841.25 : 478,468,879.88 = 478,468,879.88 : x
  2. Step 2: Convert to fraction form
    218,050,841.25/478,468,879.88 = 478,468,879.88/x
  3. Step 3: Cross multiply
    218,050,841.25x = 478,468,879.88 × 478,468,879.88
  4. Step 4: Simplify right side
    218,050,841.25x = 228,932,469,008,837,184
  5. Step 5: Solve for x
    x = 228,932,469,008,837,184/218,050,841.25
  6. Step 6: Final answer
    x = 1,049,904,085.20

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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.