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Finding the Third Proportional to 67,181,286 and 100,754,409

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Solution

The third proportional to 67,181,286 and 100,754,409 is: 151,105,338.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,181,286 : 100,754,409 = 100,754,409 : x
  2. Step 2: Convert to fraction form
    67,181,286/100,754,409 = 100,754,409/x
  3. Step 3: Cross multiply
    67,181,286x = 100,754,409 × 100,754,409
  4. Step 4: Simplify right side
    67,181,286x = 10,151,450,932,939,280
  5. Step 5: Solve for x
    x = 10,151,450,932,939,280/67,181,286
  6. Step 6: Final answer
    x = 151,105,338.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.