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Finding the Third Proportional to 114,000,192 and 239,197,824

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Solution

The third proportional to 114,000,192 and 239,197,824 is: 501,890,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000,192 : 239,197,824 = 239,197,824 : x
  2. Step 2: Convert to fraction form
    114,000,192/239,197,824 = 239,197,824/x
  3. Step 3: Cross multiply
    114,000,192x = 239,197,824 × 239,197,824
  4. Step 4: Simplify right side
    114,000,192x = 57,215,599,006,334,976
  5. Step 5: Solve for x
    x = 57,215,599,006,334,976/114,000,192
  6. Step 6: Final answer
    x = 501,890,374.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.