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Finding the Third Proportional to 86,234,782,410 and 187,654,441,698

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Solution

The third proportional to 86,234,782,410 and 187,654,441,698 is: 408,352,505,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,234,782,410 : 187,654,441,698 = 187,654,441,698 : x
  2. Step 2: Convert to fraction form
    86,234,782,410/187,654,441,698 = 187,654,441,698/x
  3. Step 3: Cross multiply
    86,234,782,410x = 187,654,441,698 × 187,654,441,698
  4. Step 4: Simplify right side
    86,234,782,410x = 35,214,189,488,988,082,929,664
  5. Step 5: Solve for x
    x = 35,214,189,488,988,082,929,664/86,234,782,410
  6. Step 6: Final answer
    x = 408,352,505,855.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.