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Finding the Third Proportional to 108,093,419,790.50 and 232,454,527,537

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Solution

The third proportional to 108,093,419,790.50 and 232,454,527,537 is: 499,892,662,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,093,419,790.50 : 232,454,527,537 = 232,454,527,537 : x
  2. Step 2: Convert to fraction form
    108,093,419,790.50/232,454,527,537 = 232,454,527,537/x
  3. Step 3: Cross multiply
    108,093,419,790.50x = 232,454,527,537 × 232,454,527,537
  4. Step 4: Simplify right side
    108,093,419,790.50x = 54,035,107,372,449,893,711,872
  5. Step 5: Solve for x
    x = 54,035,107,372,449,893,711,872/108,093,419,790.50
  6. Step 6: Final answer
    x = 499,892,662,080.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.