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Finding the Third Proportional to 218,050,849 and 478,468,894

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Solution

The third proportional to 218,050,849 and 478,468,894 is: 1,049,904,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,849 : 478,468,894 = 478,468,894 : x
  2. Step 2: Convert to fraction form
    218,050,849/478,468,894 = 478,468,894/x
  3. Step 3: Cross multiply
    218,050,849x = 478,468,894 × 478,468,894
  4. Step 4: Simplify right side
    218,050,849x = 228,932,482,525,583,232
  5. Step 5: Solve for x
    x = 228,932,482,525,583,232/218,050,849
  6. Step 6: Final answer
    x = 1,049,904,109.87

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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.