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Finding the Third Proportional to 234,271,279,422 and 329,905,585,323

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Solution

The third proportional to 234,271,279,422 and 329,905,585,323 is: 464,579,761,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,271,279,422 : 329,905,585,323 = 329,905,585,323 : x
  2. Step 2: Convert to fraction form
    234,271,279,422/329,905,585,323 = 329,905,585,323/x
  3. Step 3: Cross multiply
    234,271,279,422x = 329,905,585,323 × 329,905,585,323
  4. Step 4: Simplify right side
    234,271,279,422x = 108,837,695,227,311,238,938,624
  5. Step 5: Solve for x
    x = 108,837,695,227,311,238,938,624/234,271,279,422
  6. Step 6: Final answer
    x = 464,579,761,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.