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Finding the Third Proportional to 83,886,560,532 and 184,013,991,191.25

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Solution

The third proportional to 83,886,560,532 and 184,013,991,191.25 is: 403,654,038,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,560,532 : 184,013,991,191.25 = 184,013,991,191.25 : x
  2. Step 2: Convert to fraction form
    83,886,560,532/184,013,991,191.25 = 184,013,991,191.25/x
  3. Step 3: Cross multiply
    83,886,560,532x = 184,013,991,191.25 × 184,013,991,191.25
  4. Step 4: Simplify right side
    83,886,560,532x = 33,861,148,954,133,432,107,008
  5. Step 5: Solve for x
    x = 33,861,148,954,133,432,107,008/83,886,560,532
  6. Step 6: Final answer
    x = 403,654,038,732.66

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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.