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Finding the Third Proportional to 169,205,618 and 228,298,107

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Solution

The third proportional to 169,205,618 and 228,298,107 is: 308,027,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205,618 : 228,298,107 = 228,298,107 : x
  2. Step 2: Convert to fraction form
    169,205,618/228,298,107 = 228,298,107/x
  3. Step 3: Cross multiply
    169,205,618x = 228,298,107 × 228,298,107
  4. Step 4: Simplify right side
    169,205,618x = 52,120,025,659,783,448
  5. Step 5: Solve for x
    x = 52,120,025,659,783,448/169,205,618
  6. Step 6: Final answer
    x = 308,027,749.17

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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.