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Finding the Third Proportional to 106,816 and 229,712

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Solution

The third proportional to 106,816 and 229,712 is: 494,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816 : 229,712 = 229,712 : x
  2. Step 2: Convert to fraction form
    106,816/229,712 = 229,712/x
  3. Step 3: Cross multiply
    106,816x = 229,712 × 229,712
  4. Step 4: Simplify right side
    106,816x = 52,767,602,944
  5. Step 5: Solve for x
    x = 52,767,602,944/106,816
  6. Step 6: Final answer
    x = 494,004.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.