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Finding the Third Proportional to 134,775,697.50 and 192,597,608.25

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Solution

The third proportional to 134,775,697.50 and 192,597,608.25 is: 275,226,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,775,697.50 : 192,597,608.25 = 192,597,608.25 : x
  2. Step 2: Convert to fraction form
    134,775,697.50/192,597,608.25 = 192,597,608.25/x
  3. Step 3: Cross multiply
    134,775,697.50x = 192,597,608.25 × 192,597,608.25
  4. Step 4: Simplify right side
    134,775,697.50x = 37,093,838,703,620,472
  5. Step 5: Solve for x
    x = 37,093,838,703,620,472/134,775,697.50
  6. Step 6: Final answer
    x = 275,226,464.35

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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.