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Finding the Third Proportional to 198,938,253,837 and 432,732,548,079

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Solution

The third proportional to 198,938,253,837 and 432,732,548,079 is: 941,284,315,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,938,253,837 : 432,732,548,079 = 432,732,548,079 : x
  2. Step 2: Convert to fraction form
    198,938,253,837/432,732,548,079 = 432,732,548,079/x
  3. Step 3: Cross multiply
    198,938,253,837x = 432,732,548,079 × 432,732,548,079
  4. Step 4: Simplify right side
    198,938,253,837x = 187,257,458,166,944,046,776,320
  5. Step 5: Solve for x
    x = 187,257,458,166,944,046,776,320/198,938,253,837
  6. Step 6: Final answer
    x = 941,284,315,888.15

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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.