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Finding the Third Proportional to 237,569,193 and 347,848,789.50

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Solution

The third proportional to 237,569,193 and 347,848,789.50 is: 509,320,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,569,193 : 347,848,789.50 = 347,848,789.50 : x
  2. Step 2: Convert to fraction form
    237,569,193/347,848,789.50 = 347,848,789.50/x
  3. Step 3: Cross multiply
    237,569,193x = 347,848,789.50 × 347,848,789.50
  4. Step 4: Simplify right side
    237,569,193x = 120,998,780,356,615,312
  5. Step 5: Solve for x
    x = 120,998,780,356,615,312/237,569,193
  6. Step 6: Final answer
    x = 509,320,164.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.