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Finding the Third Proportional to 334,899,698,194 and 514,764,847,131

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Solution

The third proportional to 334,899,698,194 and 514,764,847,131 is: 791,230,476,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,899,698,194 : 514,764,847,131 = 514,764,847,131 : x
  2. Step 2: Convert to fraction form
    334,899,698,194/514,764,847,131 = 514,764,847,131/x
  3. Step 3: Cross multiply
    334,899,698,194x = 514,764,847,131 × 514,764,847,131
  4. Step 4: Simplify right side
    334,899,698,194x = 264,982,847,841,801,789,767,680
  5. Step 5: Solve for x
    x = 264,982,847,841,801,789,767,680/334,899,698,194
  6. Step 6: Final answer
    x = 791,230,476,679.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.