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Finding the Third Proportional to 234,271,279,106 and 329,905,584,925

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Solution

The third proportional to 234,271,279,106 and 329,905,584,925 is: 464,579,761,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,271,279,106 : 329,905,584,925 = 329,905,584,925 : x
  2. Step 2: Convert to fraction form
    234,271,279,106/329,905,584,925 = 329,905,584,925/x
  3. Step 3: Cross multiply
    234,271,279,106x = 329,905,584,925 × 329,905,584,925
  4. Step 4: Simplify right side
    234,271,279,106x = 108,837,694,964,706,385,592,320
  5. Step 5: Solve for x
    x = 108,837,694,964,706,385,592,320/234,271,279,106
  6. Step 6: Final answer
    x = 464,579,761,463.04

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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.