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Finding the Third Proportional to 238,299,120 and 514,236,672

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Solution

The third proportional to 238,299,120 and 514,236,672 is: 1,109,695,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299,120 : 514,236,672 = 514,236,672 : x
  2. Step 2: Convert to fraction form
    238,299,120/514,236,672 = 514,236,672/x
  3. Step 3: Cross multiply
    238,299,120x = 514,236,672 × 514,236,672
  4. Step 4: Simplify right side
    238,299,120x = 264,439,354,829,635,584
  5. Step 5: Solve for x
    x = 264,439,354,829,635,584/238,299,120
  6. Step 6: Final answer
    x = 1,109,695,053.97

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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.