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Finding the Third Proportional to 109,705,021 and 228,490,261

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Solution

The third proportional to 109,705,021 and 228,490,261 is: 475,892,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,021 : 228,490,261 = 228,490,261 : x
  2. Step 2: Convert to fraction form
    109,705,021/228,490,261 = 228,490,261/x
  3. Step 3: Cross multiply
    109,705,021x = 228,490,261 × 228,490,261
  4. Step 4: Simplify right side
    109,705,021x = 52,207,799,371,848,120
  5. Step 5: Solve for x
    x = 52,207,799,371,848,120/109,705,021
  6. Step 6: Final answer
    x = 475,892,524.30

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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.