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Finding the Third Proportional to 204,023,001.50 and 442,685,158.50

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Solution

The third proportional to 204,023,001.50 and 442,685,158.50 is: 960,529,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,023,001.50 : 442,685,158.50 = 442,685,158.50 : x
  2. Step 2: Convert to fraction form
    204,023,001.50/442,685,158.50 = 442,685,158.50/x
  3. Step 3: Cross multiply
    204,023,001.50x = 442,685,158.50 × 442,685,158.50
  4. Step 4: Simplify right side
    204,023,001.50x = 195,970,149,556,170,112
  5. Step 5: Solve for x
    x = 195,970,149,556,170,112/204,023,001.50
  6. Step 6: Final answer
    x = 960,529,685.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.