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Finding the Third Proportional to 214,899,267,800.24 and 459,986,775,885

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Solution

The third proportional to 214,899,267,800.24 and 459,986,775,885 is: 984,590,762,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,899,267,800.24 : 459,986,775,885 = 459,986,775,885 : x
  2. Step 2: Convert to fraction form
    214,899,267,800.24/459,986,775,885 = 459,986,775,885/x
  3. Step 3: Cross multiply
    214,899,267,800.24x = 459,986,775,885 × 459,986,775,885
  4. Step 4: Simplify right side
    214,899,267,800.24x = 211,587,833,989,077,212,856,320
  5. Step 5: Solve for x
    x = 211,587,833,989,077,212,856,320/214,899,267,800.24
  6. Step 6: Final answer
    x = 984,590,762,709.16

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