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Finding the Third Proportional to 147,429,704 and 319,920,162

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Solution

The third proportional to 147,429,704 and 319,920,162 is: 694,221,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,429,704 : 319,920,162 = 319,920,162 : x
  2. Step 2: Convert to fraction form
    147,429,704/319,920,162 = 319,920,162/x
  3. Step 3: Cross multiply
    147,429,704x = 319,920,162 × 319,920,162
  4. Step 4: Simplify right side
    147,429,704x = 102,348,910,054,106,240
  5. Step 5: Solve for x
    x = 102,348,910,054,106,240/147,429,704
  6. Step 6: Final answer
    x = 694,221,769.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.