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Finding the Third Proportional to 233,265,298.50 and 501,147,837

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Solution

The third proportional to 233,265,298.50 and 501,147,837 is: 1,076,667,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,298.50 : 501,147,837 = 501,147,837 : x
  2. Step 2: Convert to fraction form
    233,265,298.50/501,147,837 = 501,147,837/x
  3. Step 3: Cross multiply
    233,265,298.50x = 501,147,837 × 501,147,837
  4. Step 4: Simplify right side
    233,265,298.50x = 251,149,154,529,778,560
  5. Step 5: Solve for x
    x = 251,149,154,529,778,560/233,265,298.50
  6. Step 6: Final answer
    x = 1,076,667,451.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.