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Finding the Third Proportional to 118,256,119 and 252,855,121

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Solution

The third proportional to 118,256,119 and 252,855,121 is: 540,654,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,256,119 : 252,855,121 = 252,855,121 : x
  2. Step 2: Convert to fraction form
    118,256,119/252,855,121 = 252,855,121/x
  3. Step 3: Cross multiply
    118,256,119x = 252,855,121 × 252,855,121
  4. Step 4: Simplify right side
    118,256,119x = 63,935,712,215,924,640
  5. Step 5: Solve for x
    x = 63,935,712,215,924,640/118,256,119
  6. Step 6: Final answer
    x = 540,654,578.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.