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Finding the Third Proportional to 327,848,323.25 and 535,290,132.25

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Solution

The third proportional to 327,848,323.25 and 535,290,132.25 is: 873,988,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848,323.25 : 535,290,132.25 = 535,290,132.25 : x
  2. Step 2: Convert to fraction form
    327,848,323.25/535,290,132.25 = 535,290,132.25/x
  3. Step 3: Cross multiply
    327,848,323.25x = 535,290,132.25 × 535,290,132.25
  4. Step 4: Simplify right side
    327,848,323.25x = 286,535,525,684,222,496
  5. Step 5: Solve for x
    x = 286,535,525,684,222,496/327,848,323.25
  6. Step 6: Final answer
    x = 873,988,077.30

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.