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Finding the Third Proportional to 109,705,023 and 228,490,265

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Solution

The third proportional to 109,705,023 and 228,490,265 is: 475,892,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705,023 : 228,490,265 = 228,490,265 : x
  2. Step 2: Convert to fraction form
    109,705,023/228,490,265 = 228,490,265/x
  3. Step 3: Cross multiply
    109,705,023x = 228,490,265 × 228,490,265
  4. Step 4: Simplify right side
    109,705,023x = 52,207,801,199,770,224
  5. Step 5: Solve for x
    x = 52,207,801,199,770,224/109,705,023
  6. Step 6: Final answer
    x = 475,892,532.28

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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.