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Finding the Third Proportional to 118,305,877,034 and 278,998,103,957

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Solution

The third proportional to 118,305,877,034 and 278,998,103,957 is: 657,954,988,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,305,877,034 : 278,998,103,957 = 278,998,103,957 : x
  2. Step 2: Convert to fraction form
    118,305,877,034/278,998,103,957 = 278,998,103,957/x
  3. Step 3: Cross multiply
    118,305,877,034x = 278,998,103,957 × 278,998,103,957
  4. Step 4: Simplify right side
    118,305,877,034x = 77,839,942,011,600,987,226,112
  5. Step 5: Solve for x
    x = 77,839,942,011,600,987,226,112/118,305,877,034
  6. Step 6: Final answer
    x = 657,954,988,907.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.