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Finding the Third Proportional to 87,310,843 and 145,509,301

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Solution

The third proportional to 87,310,843 and 145,509,301 is: 242,500,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310,843 : 145,509,301 = 145,509,301 : x
  2. Step 2: Convert to fraction form
    87,310,843/145,509,301 = 145,509,301/x
  3. Step 3: Cross multiply
    87,310,843x = 145,509,301 × 145,509,301
  4. Step 4: Simplify right side
    87,310,843x = 21,172,956,677,508,600
  5. Step 5: Solve for x
    x = 21,172,956,677,508,600/87,310,843
  6. Step 6: Final answer
    x = 242,500,884.77

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.