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Finding the Third Proportional to 116,212 and 163,648.50

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Solution

The third proportional to 116,212 and 163,648.50 is: 230,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,212 : 163,648.50 = 163,648.50 : x
  2. Step 2: Convert to fraction form
    116,212/163,648.50 = 163,648.50/x
  3. Step 3: Cross multiply
    116,212x = 163,648.50 × 163,648.50
  4. Step 4: Simplify right side
    116,212x = 26,780,831,552.25
  5. Step 5: Solve for x
    x = 26,780,831,552.25/116,212
  6. Step 6: Final answer
    x = 230,448.07

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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.