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Finding the Third Proportional to 214,899,271,204 and 459,986,782,693

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Solution

The third proportional to 214,899,271,204 and 459,986,782,693 is: 984,590,776,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,899,271,204 : 459,986,782,693 = 459,986,782,693 : x
  2. Step 2: Convert to fraction form
    214,899,271,204/459,986,782,693 = 459,986,782,693/x
  3. Step 3: Cross multiply
    214,899,271,204x = 459,986,782,693 × 459,986,782,693
  4. Step 4: Simplify right side
    214,899,271,204x = 211,587,840,252,257,194,999,808
  5. Step 5: Solve for x
    x = 211,587,840,252,257,194,999,808/214,899,271,204
  6. Step 6: Final answer
    x = 984,590,776,259.08

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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.