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Finding the Third Proportional to 159,194,352 and 337,519,968

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Solution

The third proportional to 159,194,352 and 337,519,968 is: 715,601,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,194,352 : 337,519,968 = 337,519,968 : x
  2. Step 2: Convert to fraction form
    159,194,352/337,519,968 = 337,519,968/x
  3. Step 3: Cross multiply
    159,194,352x = 337,519,968 × 337,519,968
  4. Step 4: Simplify right side
    159,194,352x = 113,919,728,798,721,024
  5. Step 5: Solve for x
    x = 113,919,728,798,721,024/159,194,352
  6. Step 6: Final answer
    x = 715,601,573.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.