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Finding the Third Proportional to 163,116 and 229,700.25

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Solution

The third proportional to 163,116 and 229,700.25 is: 323,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,116 : 229,700.25 = 229,700.25 : x
  2. Step 2: Convert to fraction form
    163,116/229,700.25 = 229,700.25/x
  3. Step 3: Cross multiply
    163,116x = 229,700.25 × 229,700.25
  4. Step 4: Simplify right side
    163,116x = 52,762,204,850.06
  5. Step 5: Solve for x
    x = 52,762,204,850.06/163,116
  6. Step 6: Final answer
    x = 323,464.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.