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Finding the Third Proportional to 42,088,232,659.50 and 91,585,690,839

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Solution

The third proportional to 42,088,232,659.50 and 91,585,690,839 is: 199,294,155,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088,232,659.50 : 91,585,690,839 = 91,585,690,839 : x
  2. Step 2: Convert to fraction form
    42,088,232,659.50/91,585,690,839 = 91,585,690,839/x
  3. Step 3: Cross multiply
    42,088,232,659.50x = 91,585,690,839 × 91,585,690,839
  4. Step 4: Simplify right side
    42,088,232,659.50x = 8,387,938,766,456,888,492,032
  5. Step 5: Solve for x
    x = 8,387,938,766,456,888,492,032/42,088,232,659.50
  6. Step 6: Final answer
    x = 199,294,155,074.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.