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Finding the Third Proportional to 114,899,563.13 and 237,974,782.78

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Solution

The third proportional to 114,899,563.13 and 237,974,782.78 is: 492,882,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,899,563.13 : 237,974,782.78 = 237,974,782.78 : x
  2. Step 2: Convert to fraction form
    114,899,563.13/237,974,782.78 = 237,974,782.78/x
  3. Step 3: Cross multiply
    114,899,563.13x = 237,974,782.78 × 237,974,782.78
  4. Step 4: Simplify right side
    114,899,563.13x = 56,631,997,239,783,120
  5. Step 5: Solve for x
    x = 56,631,997,239,783,120/114,899,563.13
  6. Step 6: Final answer
    x = 492,882,615.91

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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.