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Finding the Third Proportional to 72,082,199.25 and 149,274,418.50

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Solution

The third proportional to 72,082,199.25 and 149,274,418.50 is: 309,131,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082,199.25 : 149,274,418.50 = 149,274,418.50 : x
  2. Step 2: Convert to fraction form
    72,082,199.25/149,274,418.50 = 149,274,418.50/x
  3. Step 3: Cross multiply
    72,082,199.25x = 149,274,418.50 × 149,274,418.50
  4. Step 4: Simplify right side
    72,082,199.25x = 22,282,852,018,513,144
  5. Step 5: Solve for x
    x = 22,282,852,018,513,144/72,082,199.25
  6. Step 6: Final answer
    x = 309,131,134.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.