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Finding the Third Proportional to 123,184,372.50 and 190,674,292.50

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Solution

The third proportional to 123,184,372.50 and 190,674,292.50 is: 295,140,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,184,372.50 : 190,674,292.50 = 190,674,292.50 : x
  2. Step 2: Convert to fraction form
    123,184,372.50/190,674,292.50 = 190,674,292.50/x
  3. Step 3: Cross multiply
    123,184,372.50x = 190,674,292.50 × 190,674,292.50
  4. Step 4: Simplify right side
    123,184,372.50x = 36,356,685,820,375,560
  5. Step 5: Solve for x
    x = 36,356,685,820,375,560/123,184,372.50
  6. Step 6: Final answer
    x = 295,140,406.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.