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Finding the Third Proportional to 72,082,284 and 149,274,560

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Solution

The third proportional to 72,082,284 and 149,274,560 is: 309,131,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082,284 : 149,274,560 = 149,274,560 : x
  2. Step 2: Convert to fraction form
    72,082,284/149,274,560 = 149,274,560/x
  3. Step 3: Cross multiply
    72,082,284x = 149,274,560 × 149,274,560
  4. Step 4: Simplify right side
    72,082,284x = 22,282,894,263,193,600
  5. Step 5: Solve for x
    x = 22,282,894,263,193,600/72,082,284
  6. Step 6: Final answer
    x = 309,131,356.93

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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.