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Finding the Third Proportional to 107,216 and 233,106

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Solution

The third proportional to 107,216 and 233,106 is: 506,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,216 : 233,106 = 233,106 : x
  2. Step 2: Convert to fraction form
    107,216/233,106 = 233,106/x
  3. Step 3: Cross multiply
    107,216x = 233,106 × 233,106
  4. Step 4: Simplify right side
    107,216x = 54,338,407,236
  5. Step 5: Solve for x
    x = 54,338,407,236/107,216
  6. Step 6: Final answer
    x = 506,812.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.