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Finding the Third Proportional to 89,064,520 and 196,246,128

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Solution

The third proportional to 89,064,520 and 196,246,128 is: 432,411,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,064,520 : 196,246,128 = 196,246,128 : x
  2. Step 2: Convert to fraction form
    89,064,520/196,246,128 = 196,246,128/x
  3. Step 3: Cross multiply
    89,064,520x = 196,246,128 × 196,246,128
  4. Step 4: Simplify right side
    89,064,520x = 38,512,542,754,992,384
  5. Step 5: Solve for x
    x = 38,512,542,754,992,384/89,064,520
  6. Step 6: Final answer
    x = 432,411,725.29

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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.