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Finding the Third Proportional to 147,429,706 and 319,920,166

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Solution

The third proportional to 147,429,706 and 319,920,166 is: 694,221,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,429,706 : 319,920,166 = 319,920,166 : x
  2. Step 2: Convert to fraction form
    147,429,706/319,920,166 = 319,920,166/x
  3. Step 3: Cross multiply
    147,429,706x = 319,920,166 × 319,920,166
  4. Step 4: Simplify right side
    147,429,706x = 102,348,912,613,467,552
  5. Step 5: Solve for x
    x = 102,348,912,613,467,552/147,429,706
  6. Step 6: Final answer
    x = 694,221,777.89

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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.