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Finding the Third Proportional to 201,285,702 and 440,257,788

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Solution

The third proportional to 201,285,702 and 440,257,788 is: 962,944,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,285,702 : 440,257,788 = 440,257,788 : x
  2. Step 2: Convert to fraction form
    201,285,702/440,257,788 = 440,257,788/x
  3. Step 3: Cross multiply
    201,285,702x = 440,257,788 × 440,257,788
  4. Step 4: Simplify right side
    201,285,702x = 193,826,919,894,652,928
  5. Step 5: Solve for x
    x = 193,826,919,894,652,928/201,285,702
  6. Step 6: Final answer
    x = 962,944,302.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.