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Finding the Third Proportional to 169,205,619.50 and 228,298,109

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Solution

The third proportional to 169,205,619.50 and 228,298,109 is: 308,027,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205,619.50 : 228,298,109 = 228,298,109 : x
  2. Step 2: Convert to fraction form
    169,205,619.50/228,298,109 = 228,298,109/x
  3. Step 3: Cross multiply
    169,205,619.50x = 228,298,109 × 228,298,109
  4. Step 4: Simplify right side
    169,205,619.50x = 52,120,026,572,975,880
  5. Step 5: Solve for x
    x = 52,120,026,572,975,880/169,205,619.50
  6. Step 6: Final answer
    x = 308,027,751.84

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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.