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Finding the Third Proportional to 169,205,634 and 228,298,130

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Solution

The third proportional to 169,205,634 and 228,298,130 is: 308,027,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205,634 : 228,298,130 = 228,298,130 : x
  2. Step 2: Convert to fraction form
    169,205,634/228,298,130 = 228,298,130/x
  3. Step 3: Cross multiply
    169,205,634x = 228,298,130 × 228,298,130
  4. Step 4: Simplify right side
    169,205,634x = 52,120,036,161,496,896
  5. Step 5: Solve for x
    x = 52,120,036,161,496,896/169,205,634
  6. Step 6: Final answer
    x = 308,027,782.11

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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.