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Finding the Third Proportional to 99,951 and 150,952.50

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Solution

The third proportional to 99,951 and 150,952.50 is: 227,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,951 : 150,952.50 = 150,952.50 : x
  2. Step 2: Convert to fraction form
    99,951/150,952.50 = 150,952.50/x
  3. Step 3: Cross multiply
    99,951x = 150,952.50 × 150,952.50
  4. Step 4: Simplify right side
    99,951x = 22,786,657,256.25
  5. Step 5: Solve for x
    x = 22,786,657,256.25/99,951
  6. Step 6: Final answer
    x = 227,978.28

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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.