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Finding the Third Proportional to 232,855,884 and 472,554,288

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Solution

The third proportional to 232,855,884 and 472,554,288 is: 958,994,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,855,884 : 472,554,288 = 472,554,288 : x
  2. Step 2: Convert to fraction form
    232,855,884/472,554,288 = 472,554,288/x
  3. Step 3: Cross multiply
    232,855,884x = 472,554,288 × 472,554,288
  4. Step 4: Simplify right side
    232,855,884x = 223,307,555,107,186,944
  5. Step 5: Solve for x
    x = 223,307,555,107,186,944/232,855,884
  6. Step 6: Final answer
    x = 958,994,684.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.