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Finding the Third Proportional to 238,299,092 and 514,236,614

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Solution

The third proportional to 238,299,092 and 514,236,614 is: 1,109,694,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299,092 : 514,236,614 = 514,236,614 : x
  2. Step 2: Convert to fraction form
    238,299,092/514,236,614 = 514,236,614/x
  3. Step 3: Cross multiply
    238,299,092x = 514,236,614 × 514,236,614
  4. Step 4: Simplify right side
    238,299,092x = 264,439,295,178,184,992
  5. Step 5: Solve for x
    x = 264,439,295,178,184,992/238,299,092
  6. Step 6: Final answer
    x = 1,109,694,934.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.