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Finding the Third Proportional to 327,848,356.50 and 535,290,187.50

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Solution

The third proportional to 327,848,356.50 and 535,290,187.50 is: 873,988,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848,356.50 : 535,290,187.50 = 535,290,187.50 : x
  2. Step 2: Convert to fraction form
    327,848,356.50/535,290,187.50 = 535,290,187.50/x
  3. Step 3: Cross multiply
    327,848,356.50x = 535,290,187.50 × 535,290,187.50
  4. Step 4: Simplify right side
    327,848,356.50x = 286,535,584,833,785,152
  5. Step 5: Solve for x
    x = 286,535,584,833,785,152/327,848,356.50
  6. Step 6: Final answer
    x = 873,988,169.08

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Why These Related Problems?

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