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Finding the Third Proportional to 190,730,166.75 and 411,951,481.50

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Solution

The third proportional to 190,730,166.75 and 411,951,481.50 is: 889,759,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,730,166.75 : 411,951,481.50 = 411,951,481.50 : x
  2. Step 2: Convert to fraction form
    190,730,166.75/411,951,481.50 = 411,951,481.50/x
  3. Step 3: Cross multiply
    190,730,166.75x = 411,951,481.50 × 411,951,481.50
  4. Step 4: Simplify right side
    190,730,166.75x = 169,704,023,110,044,832
  5. Step 5: Solve for x
    x = 169,704,023,110,044,832/190,730,166.75
  6. Step 6: Final answer
    x = 889,759,737.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.