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Finding the Third Proportional to 218,560,518 and 475,415,148.94

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Solution

The third proportional to 218,560,518 and 475,415,148.94 is: 1,034,128,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,560,518 : 475,415,148.94 = 475,415,148.94 : x
  2. Step 2: Convert to fraction form
    218,560,518/475,415,148.94 = 475,415,148.94/x
  3. Step 3: Cross multiply
    218,560,518x = 475,415,148.94 × 475,415,148.94
  4. Step 4: Simplify right side
    218,560,518x = 226,019,563,839,265,312
  5. Step 5: Solve for x
    x = 226,019,563,839,265,312/218,560,518
  6. Step 6: Final answer
    x = 1,034,128,057.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.