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Finding the Third Proportional to 83,317,195,809 and 182,551,925,340

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Solution

The third proportional to 83,317,195,809 and 182,551,925,340 is: 399,979,921,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,317,195,809 : 182,551,925,340 = 182,551,925,340 : x
  2. Step 2: Convert to fraction form
    83,317,195,809/182,551,925,340 = 182,551,925,340/x
  3. Step 3: Cross multiply
    83,317,195,809x = 182,551,925,340 × 182,551,925,340
  4. Step 4: Simplify right side
    83,317,195,809x = 33,325,205,445,340,934,701,056
  5. Step 5: Solve for x
    x = 33,325,205,445,340,934,701,056/83,317,195,809
  6. Step 6: Final answer
    x = 399,979,921,572.70

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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.