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Finding the Third Proportional to 106,816.50 and 152,646.75

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Solution

The third proportional to 106,816.50 and 152,646.75 is: 218,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.50 : 152,646.75 = 152,646.75 : x
  2. Step 2: Convert to fraction form
    106,816.50/152,646.75 = 152,646.75/x
  3. Step 3: Cross multiply
    106,816.50x = 152,646.75 × 152,646.75
  4. Step 4: Simplify right side
    106,816.50x = 23,301,030,285.56
  5. Step 5: Solve for x
    x = 23,301,030,285.56/106,816.50
  6. Step 6: Final answer
    x = 218,140.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.