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Finding the Third Proportional to 239,681,179,680 and 352,571,836,432

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Solution

The third proportional to 239,681,179,680 and 352,571,836,432 is: 518,634,379,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,681,179,680 : 352,571,836,432 = 352,571,836,432 : x
  2. Step 2: Convert to fraction form
    239,681,179,680/352,571,836,432 = 352,571,836,432/x
  3. Step 3: Cross multiply
    239,681,179,680x = 352,571,836,432 × 352,571,836,432
  4. Step 4: Simplify right side
    239,681,179,680x = 124,306,899,845,032,968,192,000
  5. Step 5: Solve for x
    x = 124,306,899,845,032,968,192,000/239,681,179,680
  6. Step 6: Final answer
    x = 518,634,379,265.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.