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Finding the Third Proportional to 214,937,969 and 466,368,217

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Solution

The third proportional to 214,937,969 and 466,368,217 is: 1,011,916,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,937,969 : 466,368,217 = 466,368,217 : x
  2. Step 2: Convert to fraction form
    214,937,969/466,368,217 = 466,368,217/x
  3. Step 3: Cross multiply
    214,937,969x = 466,368,217 × 466,368,217
  4. Step 4: Simplify right side
    214,937,969x = 217,499,313,827,759,104
  5. Step 5: Solve for x
    x = 217,499,313,827,759,104/214,937,969
  6. Step 6: Final answer
    x = 1,011,916,669.91

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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.