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Finding the Third Proportional to 149,288,056,657 and 329,005,773,285

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Solution

The third proportional to 149,288,056,657 and 329,005,773,285 is: 725,073,400,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,056,657 : 329,005,773,285 = 329,005,773,285 : x
  2. Step 2: Convert to fraction form
    149,288,056,657/329,005,773,285 = 329,005,773,285/x
  3. Step 3: Cross multiply
    149,288,056,657x = 329,005,773,285 × 329,005,773,285
  4. Step 4: Simplify right side
    149,288,056,657x = 108,244,798,854,860,818,612,224
  5. Step 5: Solve for x
    x = 108,244,798,854,860,818,612,224/149,288,056,657
  6. Step 6: Final answer
    x = 725,073,400,235.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.