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Finding the Third Proportional to 137,020,215 and 323,343,174

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Solution

The third proportional to 137,020,215 and 323,343,174 is: 763,031,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,215 : 323,343,174 = 323,343,174 : x
  2. Step 2: Convert to fraction form
    137,020,215/323,343,174 = 323,343,174/x
  3. Step 3: Cross multiply
    137,020,215x = 323,343,174 × 323,343,174
  4. Step 4: Simplify right side
    137,020,215x = 104,550,808,172,394,272
  5. Step 5: Solve for x
    x = 104,550,808,172,394,272/137,020,215
  6. Step 6: Final answer
    x = 763,031,996.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.