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Finding the Third Proportional to 87,310,841 and 145,509,299

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Solution

The third proportional to 87,310,841 and 145,509,299 is: 242,500,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310,841 : 145,509,299 = 145,509,299 : x
  2. Step 2: Convert to fraction form
    87,310,841/145,509,299 = 145,509,299/x
  3. Step 3: Cross multiply
    87,310,841x = 145,509,299 × 145,509,299
  4. Step 4: Simplify right side
    87,310,841x = 21,172,956,095,471,400
  5. Step 5: Solve for x
    x = 21,172,956,095,471,400/87,310,841
  6. Step 6: Final answer
    x = 242,500,883.66

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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.