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Finding the Third Proportional to 96,118.31 and 210,746.81

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Solution

The third proportional to 96,118.31 and 210,746.81 is: 462,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,118.31 : 210,746.81 = 210,746.81 : x
  2. Step 2: Convert to fraction form
    96,118.31/210,746.81 = 210,746.81/x
  3. Step 3: Cross multiply
    96,118.31x = 210,746.81 × 210,746.81
  4. Step 4: Simplify right side
    96,118.31x = 44,414,218,978.91
  5. Step 5: Solve for x
    x = 44,414,218,978.91/96,118.31
  6. Step 6: Final answer
    x = 462,078.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.