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Finding the Third Proportional to 214,937,821 and 466,367,921

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Solution

The third proportional to 214,937,821 and 466,367,921 is: 1,011,916,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,821 : 466,367,921 = 466,367,921 : x
  2. Step 2: Convert to fraction form
    214,937,821/466,367,921 = 466,367,921/x
  3. Step 3: Cross multiply
    214,937,821x = 466,367,921 × 466,367,921
  4. Step 4: Simplify right side
    214,937,821x = 217,499,037,737,862,240
  5. Step 5: Solve for x
    x = 217,499,037,737,862,240/214,937,821
  6. Step 6: Final answer
    x = 1,011,916,082.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.