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Finding the Third Proportional to 158,253,920 and 337,411,024

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Solution

The third proportional to 158,253,920 and 337,411,024 is: 719,389,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,253,920 : 337,411,024 = 337,411,024 : x
  2. Step 2: Convert to fraction form
    158,253,920/337,411,024 = 337,411,024/x
  3. Step 3: Cross multiply
    158,253,920x = 337,411,024 × 337,411,024
  4. Step 4: Simplify right side
    158,253,920x = 113,846,199,116,728,576
  5. Step 5: Solve for x
    x = 113,846,199,116,728,576/158,253,920
  6. Step 6: Final answer
    x = 719,389,441.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.