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Finding the Third Proportional to 123,933,409 and 187,494,065

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Solution

The third proportional to 123,933,409 and 187,494,065 is: 283,652,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,933,409 : 187,494,065 = 187,494,065 : x
  2. Step 2: Convert to fraction form
    123,933,409/187,494,065 = 187,494,065/x
  3. Step 3: Cross multiply
    123,933,409x = 187,494,065 × 187,494,065
  4. Step 4: Simplify right side
    123,933,409x = 35,154,024,410,224,224
  5. Step 5: Solve for x
    x = 35,154,024,410,224,224/123,933,409
  6. Step 6: Final answer
    x = 283,652,525.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.