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Finding the Third Proportional to 99,421 and 150,579.50

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Solution

The third proportional to 99,421 and 150,579.50 is: 228,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421 : 150,579.50 = 150,579.50 : x
  2. Step 2: Convert to fraction form
    99,421/150,579.50 = 150,579.50/x
  3. Step 3: Cross multiply
    99,421x = 150,579.50 × 150,579.50
  4. Step 4: Simplify right side
    99,421x = 22,674,185,820.25
  5. Step 5: Solve for x
    x = 22,674,185,820.25/99,421
  6. Step 6: Final answer
    x = 228,062.34

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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.