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Finding the Third Proportional to 199,083 and 433,153.50

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Solution

The third proportional to 199,083 and 433,153.50 is: 942,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,083 : 433,153.50 = 433,153.50 : x
  2. Step 2: Convert to fraction form
    199,083/433,153.50 = 433,153.50/x
  3. Step 3: Cross multiply
    199,083x = 433,153.50 × 433,153.50
  4. Step 4: Simplify right side
    199,083x = 187,621,954,562.25
  5. Step 5: Solve for x
    x = 187,621,954,562.25/199,083
  6. Step 6: Final answer
    x = 942,430.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.