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Finding the Third Proportional to 159,335,706 and 342,885,188

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Solution

The third proportional to 159,335,706 and 342,885,188 is: 737,877,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,335,706 : 342,885,188 = 342,885,188 : x
  2. Step 2: Convert to fraction form
    159,335,706/342,885,188 = 342,885,188/x
  3. Step 3: Cross multiply
    159,335,706x = 342,885,188 × 342,885,188
  4. Step 4: Simplify right side
    159,335,706x = 117,570,252,149,795,344
  5. Step 5: Solve for x
    x = 117,570,252,149,795,344/159,335,706
  6. Step 6: Final answer
    x = 737,877,623.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.