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Finding the Third Proportional to 101,628 and 153,191.25

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Solution

The third proportional to 101,628 and 153,191.25 is: 230,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,628 : 153,191.25 = 153,191.25 : x
  2. Step 2: Convert to fraction form
    101,628/153,191.25 = 153,191.25/x
  3. Step 3: Cross multiply
    101,628x = 153,191.25 × 153,191.25
  4. Step 4: Simplify right side
    101,628x = 23,467,559,076.56
  5. Step 5: Solve for x
    x = 23,467,559,076.56/101,628
  6. Step 6: Final answer
    x = 230,916.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.