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Finding the Third Proportional to 102,659,886 and 228,272,256

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Solution

The third proportional to 102,659,886 and 228,272,256 is: 507,581,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659,886 : 228,272,256 = 228,272,256 : x
  2. Step 2: Convert to fraction form
    102,659,886/228,272,256 = 228,272,256/x
  3. Step 3: Cross multiply
    102,659,886x = 228,272,256 × 228,272,256
  4. Step 4: Simplify right side
    102,659,886x = 52,108,222,859,329,536
  5. Step 5: Solve for x
    x = 52,108,222,859,329,536/102,659,886
  6. Step 6: Final answer
    x = 507,581,148.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.