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Finding the Third Proportional to 108,625,536 and 234,257,184

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Solution

The third proportional to 108,625,536 and 234,257,184 is: 505,189,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,625,536 : 234,257,184 = 234,257,184 : x
  2. Step 2: Convert to fraction form
    108,625,536/234,257,184 = 234,257,184/x
  3. Step 3: Cross multiply
    108,625,536x = 234,257,184 × 234,257,184
  4. Step 4: Simplify right side
    108,625,536x = 54,876,428,255,609,856
  5. Step 5: Solve for x
    x = 54,876,428,255,609,856/108,625,536
  6. Step 6: Final answer
    x = 505,189,021.63

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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.