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Finding the Third Proportional to 214,937,907 and 466,368,093

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Solution

The third proportional to 214,937,907 and 466,368,093 is: 1,011,916,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,907 : 466,368,093 = 466,368,093 : x
  2. Step 2: Convert to fraction form
    214,937,907/466,368,093 = 466,368,093/x
  3. Step 3: Cross multiply
    214,937,907x = 466,368,093 × 466,368,093
  4. Step 4: Simplify right side
    214,937,907x = 217,499,198,168,456,640
  5. Step 5: Solve for x
    x = 217,499,198,168,456,640/214,937,907
  6. Step 6: Final answer
    x = 1,011,916,423.70

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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.