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Finding the Third Proportional to 192,028,051.69 and 285,916,311

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Solution

The third proportional to 192,028,051.69 and 285,916,311 is: 425,709,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,028,051.69 : 285,916,311 = 285,916,311 : x
  2. Step 2: Convert to fraction form
    192,028,051.69/285,916,311 = 285,916,311/x
  3. Step 3: Cross multiply
    192,028,051.69x = 285,916,311 × 285,916,311
  4. Step 4: Simplify right side
    192,028,051.69x = 81,748,136,895,848,720
  5. Step 5: Solve for x
    x = 81,748,136,895,848,720/192,028,051.69
  6. Step 6: Final answer
    x = 425,709,349.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.