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Finding the Third Proportional to 106,221,796 and 228,586,117

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Solution

The third proportional to 106,221,796 and 228,586,117 is: 491,910,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221,796 : 228,586,117 = 228,586,117 : x
  2. Step 2: Convert to fraction form
    106,221,796/228,586,117 = 228,586,117/x
  3. Step 3: Cross multiply
    106,221,796x = 228,586,117 × 228,586,117
  4. Step 4: Simplify right side
    106,221,796x = 52,251,612,885,137,688
  5. Step 5: Solve for x
    x = 52,251,612,885,137,688/106,221,796
  6. Step 6: Final answer
    x = 491,910,463.32

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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.