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Finding the Third Proportional to 106,221,798 and 228,586,121

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Solution

The third proportional to 106,221,798 and 228,586,121 is: 491,910,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221,798 : 228,586,121 = 228,586,121 : x
  2. Step 2: Convert to fraction form
    106,221,798/228,586,121 = 228,586,121/x
  3. Step 3: Cross multiply
    106,221,798x = 228,586,121 × 228,586,121
  4. Step 4: Simplify right side
    106,221,798x = 52,251,614,713,826,640
  5. Step 5: Solve for x
    x = 52,251,614,713,826,640/106,221,798
  6. Step 6: Final answer
    x = 491,910,471.27

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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.