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Finding the Third Proportional to 202,519,571.63 and 441,836,024.48

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Solution

The third proportional to 202,519,571.63 and 441,836,024.48 is: 963,951,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,571.63 : 441,836,024.48 = 441,836,024.48 : x
  2. Step 2: Convert to fraction form
    202,519,571.63/441,836,024.48 = 441,836,024.48/x
  3. Step 3: Cross multiply
    202,519,571.63x = 441,836,024.48 × 441,836,024.48
  4. Step 4: Simplify right side
    202,519,571.63x = 195,219,072,532,161,664
  5. Step 5: Solve for x
    x = 195,219,072,532,161,664/202,519,571.63
  6. Step 6: Final answer
    x = 963,951,636.70

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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.