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Finding the Third Proportional to 200,255,016 and 415,857,834

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Solution

The third proportional to 200,255,016 and 415,857,834 is: 863,587,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255,016 : 415,857,834 = 415,857,834 : x
  2. Step 2: Convert to fraction form
    200,255,016/415,857,834 = 415,857,834/x
  3. Step 3: Cross multiply
    200,255,016x = 415,857,834 × 415,857,834
  4. Step 4: Simplify right side
    200,255,016x = 172,937,738,099,171,552
  5. Step 5: Solve for x
    x = 172,937,738,099,171,552/200,255,016
  6. Step 6: Final answer
    x = 863,587,547.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.