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Finding the Third Proportional to 169,205,636 and 228,298,133

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Solution

The third proportional to 169,205,636 and 228,298,133 is: 308,027,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205,636 : 228,298,133 = 228,298,133 : x
  2. Step 2: Convert to fraction form
    169,205,636/228,298,133 = 228,298,133/x
  3. Step 3: Cross multiply
    169,205,636x = 228,298,133 × 228,298,133
  4. Step 4: Simplify right side
    169,205,636x = 52,120,037,531,285,688
  5. Step 5: Solve for x
    x = 52,120,037,531,285,688/169,205,636
  6. Step 6: Final answer
    x = 308,027,786.56

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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.