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Finding the Third Proportional to 149,288,060,724 and 329,005,783,566

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Solution

The third proportional to 149,288,060,724 and 329,005,783,566 is: 725,073,425,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,060,724 : 329,005,783,566 = 329,005,783,566 : x
  2. Step 2: Convert to fraction form
    149,288,060,724/329,005,783,566 = 329,005,783,566/x
  3. Step 3: Cross multiply
    149,288,060,724x = 329,005,783,566 × 329,005,783,566
  4. Step 4: Simplify right side
    149,288,060,724x = 108,244,805,619,877,630,967,808
  5. Step 5: Solve for x
    x = 108,244,805,619,877,630,967,808/149,288,060,724
  6. Step 6: Final answer
    x = 725,073,425,797.91

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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.