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Finding the Third Proportional to 141,362,902,644 and 198,360,136,419

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Solution

The third proportional to 141,362,902,644 and 198,360,136,419 is: 278,338,538,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,362,902,644 : 198,360,136,419 = 198,360,136,419 : x
  2. Step 2: Convert to fraction form
    141,362,902,644/198,360,136,419 = 198,360,136,419/x
  3. Step 3: Cross multiply
    141,362,902,644x = 198,360,136,419 × 198,360,136,419
  4. Step 4: Simplify right side
    141,362,902,644x = 39,346,743,720,164,292,820,992
  5. Step 5: Solve for x
    x = 39,346,743,720,164,292,820,992/141,362,902,644
  6. Step 6: Final answer
    x = 278,338,538,500.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.