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Finding the Third Proportional to 68,513,897 and 161,685,834

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Solution

The third proportional to 68,513,897 and 161,685,834 is: 381,562,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,513,897 : 161,685,834 = 161,685,834 : x
  2. Step 2: Convert to fraction form
    68,513,897/161,685,834 = 161,685,834/x
  3. Step 3: Cross multiply
    68,513,897x = 161,685,834 × 161,685,834
  4. Step 4: Simplify right side
    68,513,897x = 26,142,308,916,275,556
  5. Step 5: Solve for x
    x = 26,142,308,916,275,556/68,513,897
  6. Step 6: Final answer
    x = 381,562,136.46

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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.