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Finding the Third Proportional to 106,221,834 and 228,586,206

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Solution

The third proportional to 106,221,834 and 228,586,206 is: 491,910,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221,834 : 228,586,206 = 228,586,206 : x
  2. Step 2: Convert to fraction form
    106,221,834/228,586,206 = 228,586,206/x
  3. Step 3: Cross multiply
    106,221,834x = 228,586,206 × 228,586,206
  4. Step 4: Simplify right side
    106,221,834x = 52,251,653,573,474,432
  5. Step 5: Solve for x
    x = 52,251,653,573,474,432/106,221,834
  6. Step 6: Final answer
    x = 491,910,670.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.