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Finding the Third Proportional to 254,717,186 and 545,760,566

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Solution

The third proportional to 254,717,186 and 545,760,566 is: 1,169,354,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,717,186 : 545,760,566 = 545,760,566 : x
  2. Step 2: Convert to fraction form
    254,717,186/545,760,566 = 545,760,566/x
  3. Step 3: Cross multiply
    254,717,186x = 545,760,566 × 545,760,566
  4. Step 4: Simplify right side
    254,717,186x = 297,854,595,400,640,384
  5. Step 5: Solve for x
    x = 297,854,595,400,640,384/254,717,186
  6. Step 6: Final answer
    x = 1,169,354,137.73

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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.