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Finding the Third Proportional to 152,904,544 and 330,151,904

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Solution

The third proportional to 152,904,544 and 330,151,904 is: 712,864,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,904,544 : 330,151,904 = 330,151,904 : x
  2. Step 2: Convert to fraction form
    152,904,544/330,151,904 = 330,151,904/x
  3. Step 3: Cross multiply
    152,904,544x = 330,151,904 × 330,151,904
  4. Step 4: Simplify right side
    152,904,544x = 109,000,279,714,825,216
  5. Step 5: Solve for x
    x = 109,000,279,714,825,216/152,904,544
  6. Step 6: Final answer
    x = 712,864,881.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.