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Finding the Third Proportional to 104,976,770 and 228,908,264

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Solution

The third proportional to 104,976,770 and 228,908,264 is: 499,148,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,976,770 : 228,908,264 = 228,908,264 : x
  2. Step 2: Convert to fraction form
    104,976,770/228,908,264 = 228,908,264/x
  3. Step 3: Cross multiply
    104,976,770x = 228,908,264 × 228,908,264
  4. Step 4: Simplify right side
    104,976,770x = 52,398,993,327,493,696
  5. Step 5: Solve for x
    x = 52,398,993,327,493,696/104,976,770
  6. Step 6: Final answer
    x = 499,148,462.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.