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Finding the Third Proportional to 101,938,836,872 and 141,737,804,424

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Solution

The third proportional to 101,938,836,872 and 141,737,804,424 is: 197,075,087,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,938,836,872 : 141,737,804,424 = 141,737,804,424 : x
  2. Step 2: Convert to fraction form
    101,938,836,872/141,737,804,424 = 141,737,804,424/x
  3. Step 3: Cross multiply
    101,938,836,872x = 141,737,804,424 × 141,737,804,424
  4. Step 4: Simplify right side
    101,938,836,872x = 20,089,605,202,936,074,338,304
  5. Step 5: Solve for x
    x = 20,089,605,202,936,074,338,304/101,938,836,872
  6. Step 6: Final answer
    x = 197,075,087,566.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.