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Finding the Third Proportional to 764,084,230.50 and 1,211,841,324

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Solution

The third proportional to 764,084,230.50 and 1,211,841,324 is: 1,921,986,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,084,230.50 : 1,211,841,324 = 1,211,841,324 : x
  2. Step 2: Convert to fraction form
    764,084,230.50/1,211,841,324 = 1,211,841,324/x
  3. Step 3: Cross multiply
    764,084,230.50x = 1,211,841,324 × 1,211,841,324
  4. Step 4: Simplify right side
    764,084,230.50x = 1,468,559,394,554,073,088
  5. Step 5: Solve for x
    x = 1,468,559,394,554,073,088/764,084,230.50
  6. Step 6: Final answer
    x = 1,921,986,262.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.