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Finding the Third Proportional to 64,389.94 and 98,506.13

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Solution

The third proportional to 64,389.94 and 98,506.13 is: 150,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389.94 : 98,506.13 = 98,506.13 : x
  2. Step 2: Convert to fraction form
    64,389.94/98,506.13 = 98,506.13/x
  3. Step 3: Cross multiply
    64,389.94x = 98,506.13 × 98,506.13
  4. Step 4: Simplify right side
    64,389.94x = 9,703,456,662.52
  5. Step 5: Solve for x
    x = 9,703,456,662.52/64,389.94
  6. Step 6: Final answer
    x = 150,698.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.