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Finding the Third Proportional to 109,705,014 and 228,490,249.50

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Solution

The third proportional to 109,705,014 and 228,490,249.50 is: 475,892,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,014 : 228,490,249.50 = 228,490,249.50 : x
  2. Step 2: Convert to fraction form
    109,705,014/228,490,249.50 = 228,490,249.50/x
  3. Step 3: Cross multiply
    109,705,014x = 228,490,249.50 × 228,490,249.50
  4. Step 4: Simplify right side
    109,705,014x = 52,207,794,116,572,248
  5. Step 5: Solve for x
    x = 52,207,794,116,572,248/109,705,014
  6. Step 6: Final answer
    x = 475,892,506.76

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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.