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Finding the Third Proportional to 233,542,809 and 513,704,985.75

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Solution

The third proportional to 233,542,809 and 513,704,985.75 is: 1,129,954,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,542,809 : 513,704,985.75 = 513,704,985.75 : x
  2. Step 2: Convert to fraction form
    233,542,809/513,704,985.75 = 513,704,985.75/x
  3. Step 3: Cross multiply
    233,542,809x = 513,704,985.75 × 513,704,985.75
  4. Step 4: Simplify right side
    233,542,809x = 263,892,812,384,407,712
  5. Step 5: Solve for x
    x = 263,892,812,384,407,712/233,542,809
  6. Step 6: Final answer
    x = 1,129,954,775.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.