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Finding the Third Proportional to 171,969,618,787.88 and 256,463,127,365.62

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Solution

The third proportional to 171,969,618,787.88 and 256,463,127,365.62 is: 382,470,672,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969,618,787.88 : 256,463,127,365.62 = 256,463,127,365.62 : x
  2. Step 2: Convert to fraction form
    171,969,618,787.88/256,463,127,365.62 = 256,463,127,365.62/x
  3. Step 3: Cross multiply
    171,969,618,787.88x = 256,463,127,365.62 × 256,463,127,365.62
  4. Step 4: Simplify right side
    171,969,618,787.88x = 65,773,335,698,154,226,450,432
  5. Step 5: Solve for x
    x = 65,773,335,698,154,226,450,432/171,969,618,787.88
  6. Step 6: Final answer
    x = 382,470,672,213.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.