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Finding the Third Proportional to 169,205,646 and 228,298,148

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Solution

The third proportional to 169,205,646 and 228,298,148 is: 308,027,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205,646 : 228,298,148 = 228,298,148 : x
  2. Step 2: Convert to fraction form
    169,205,646/228,298,148 = 228,298,148/x
  3. Step 3: Cross multiply
    169,205,646x = 228,298,148 × 228,298,148
  4. Step 4: Simplify right side
    169,205,646x = 52,120,044,380,229,904
  5. Step 5: Solve for x
    x = 52,120,044,380,229,904/169,205,646
  6. Step 6: Final answer
    x = 308,027,808.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.