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Finding the Third Proportional to 219,817,314 and 340,055,874

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Solution

The third proportional to 219,817,314 and 340,055,874 is: 526,064,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,817,314 : 340,055,874 = 340,055,874 : x
  2. Step 2: Convert to fraction form
    219,817,314/340,055,874 = 340,055,874/x
  3. Step 3: Cross multiply
    219,817,314x = 340,055,874 × 340,055,874
  4. Step 4: Simplify right side
    219,817,314x = 115,637,997,441,903,872
  5. Step 5: Solve for x
    x = 115,637,997,441,903,872/219,817,314
  6. Step 6: Final answer
    x = 526,064,099.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.