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Finding the Third Proportional to 202,831.59 and 433,803.09

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Solution

The third proportional to 202,831.59 and 433,803.09 is: 927,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,831.59 : 433,803.09 = 433,803.09 : x
  2. Step 2: Convert to fraction form
    202,831.59/433,803.09 = 433,803.09/x
  3. Step 3: Cross multiply
    202,831.59x = 433,803.09 × 433,803.09
  4. Step 4: Simplify right side
    202,831.59x = 188,185,124,147.07
  5. Step 5: Solve for x
    x = 188,185,124,147.07/202,831.59
  6. Step 6: Final answer
    x = 927,790.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.