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Finding the Third Proportional to 214,917,626.25 and 460,485,477

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Solution

The third proportional to 214,917,626.25 and 460,485,477 is: 986,642,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,917,626.25 : 460,485,477 = 460,485,477 : x
  2. Step 2: Convert to fraction form
    214,917,626.25/460,485,477 = 460,485,477/x
  3. Step 3: Cross multiply
    214,917,626.25x = 460,485,477 × 460,485,477
  4. Step 4: Simplify right side
    214,917,626.25x = 212,046,874,527,917,536
  5. Step 5: Solve for x
    x = 212,046,874,527,917,536/214,917,626.25
  6. Step 6: Final answer
    x = 986,642,548.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.