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Finding the Third Proportional to 73,023,108.75 and 104,415,824.25

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Solution

The third proportional to 73,023,108.75 and 104,415,824.25 is: 149,304,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,023,108.75 : 104,415,824.25 = 104,415,824.25 : x
  2. Step 2: Convert to fraction form
    73,023,108.75/104,415,824.25 = 104,415,824.25/x
  3. Step 3: Cross multiply
    73,023,108.75x = 104,415,824.25 × 104,415,824.25
  4. Step 4: Simplify right side
    73,023,108.75x = 10,902,664,353,806,888
  5. Step 5: Solve for x
    x = 10,902,664,353,806,888/73,023,108.75
  6. Step 6: Final answer
    x = 149,304,302.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.