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Finding the Third Proportional to 114,230,494 and 174,024,084

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Solution

The third proportional to 114,230,494 and 174,024,084 is: 265,116,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230,494 : 174,024,084 = 174,024,084 : x
  2. Step 2: Convert to fraction form
    114,230,494/174,024,084 = 174,024,084/x
  3. Step 3: Cross multiply
    114,230,494x = 174,024,084 × 174,024,084
  4. Step 4: Simplify right side
    114,230,494x = 30,284,381,812,039,056
  5. Step 5: Solve for x
    x = 30,284,381,812,039,056/114,230,494
  6. Step 6: Final answer
    x = 265,116,439.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.