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Finding the Third Proportional to 192,276,239,539 and 282,654,601,750

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Solution

The third proportional to 192,276,239,539 and 282,654,601,750 is: 415,514,803,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,276,239,539 : 282,654,601,750 = 282,654,601,750 : x
  2. Step 2: Convert to fraction form
    192,276,239,539/282,654,601,750 = 282,654,601,750/x
  3. Step 3: Cross multiply
    192,276,239,539x = 282,654,601,750 × 282,654,601,750
  4. Step 4: Simplify right side
    192,276,239,539x = 79,893,623,890,451,103,744,000
  5. Step 5: Solve for x
    x = 79,893,623,890,451,103,744,000/192,276,239,539
  6. Step 6: Final answer
    x = 415,514,803,503.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.