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Finding the Third Proportional to 214,899,273,004 and 459,986,786,414

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Solution

The third proportional to 214,899,273,004 and 459,986,786,414 is: 984,590,783,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,899,273,004 : 459,986,786,414 = 459,986,786,414 : x
  2. Step 2: Convert to fraction form
    214,899,273,004/459,986,786,414 = 459,986,786,414/x
  3. Step 3: Cross multiply
    214,899,273,004x = 459,986,786,414 × 459,986,786,414
  4. Step 4: Simplify right side
    214,899,273,004x = 211,587,843,675,478,871,244,800
  5. Step 5: Solve for x
    x = 211,587,843,675,478,871,244,800/214,899,273,004
  6. Step 6: Final answer
    x = 984,590,783,941.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.