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Finding the Third Proportional to 83,886,560,534.81 and 184,013,991,196.88

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Solution

The third proportional to 83,886,560,534.81 and 184,013,991,196.88 is: 403,654,038,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,560,534.81 : 184,013,991,196.88 = 184,013,991,196.88 : x
  2. Step 2: Convert to fraction form
    83,886,560,534.81/184,013,991,196.88 = 184,013,991,196.88/x
  3. Step 3: Cross multiply
    83,886,560,534.81x = 184,013,991,196.88 × 184,013,991,196.88
  4. Step 4: Simplify right side
    83,886,560,534.81x = 33,861,148,956,205,430,865,920
  5. Step 5: Solve for x
    x = 33,861,148,956,205,430,865,920/83,886,560,534.81
  6. Step 6: Final answer
    x = 403,654,038,743.84

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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.