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Finding the Third Proportional to 149,288,056,659 and 329,005,773,283.50

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Solution

The third proportional to 149,288,056,659 and 329,005,773,283.50 is: 725,073,400,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,056,659 : 329,005,773,283.50 = 329,005,773,283.50 : x
  2. Step 2: Convert to fraction form
    149,288,056,659/329,005,773,283.50 = 329,005,773,283.50/x
  3. Step 3: Cross multiply
    149,288,056,659x = 329,005,773,283.50 × 329,005,773,283.50
  4. Step 4: Simplify right side
    149,288,056,659x = 108,244,798,853,873,798,217,728
  5. Step 5: Solve for x
    x = 108,244,798,853,873,798,217,728/149,288,056,659
  6. Step 6: Final answer
    x = 725,073,400,219.31

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