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Finding the Third Proportional to 83,886,560,635.50 and 184,013,991,396

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Solution

The third proportional to 83,886,560,635.50 and 184,013,991,396 is: 403,654,039,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,560,635.50 : 184,013,991,396 = 184,013,991,396 : x
  2. Step 2: Convert to fraction form
    83,886,560,635.50/184,013,991,396 = 184,013,991,396/x
  3. Step 3: Cross multiply
    83,886,560,635.50x = 184,013,991,396 × 184,013,991,396
  4. Step 4: Simplify right side
    83,886,560,635.50x = 33,861,149,029,487,161,114,624
  5. Step 5: Solve for x
    x = 33,861,149,029,487,161,114,624/83,886,560,635.50
  6. Step 6: Final answer
    x = 403,654,039,132.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.