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Finding the Third Proportional to 202,519,572.75 and 441,836,026.50

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Solution

The third proportional to 202,519,572.75 and 441,836,026.50 is: 963,951,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,519,572.75 : 441,836,026.50 = 441,836,026.50 : x
  2. Step 2: Convert to fraction form
    202,519,572.75/441,836,026.50 = 441,836,026.50/x
  3. Step 3: Cross multiply
    202,519,572.75x = 441,836,026.50 × 441,836,026.50
  4. Step 4: Simplify right side
    202,519,572.75x = 195,219,074,313,308,704
  5. Step 5: Solve for x
    x = 195,219,074,313,308,704/202,519,572.75
  6. Step 6: Final answer
    x = 963,951,640.14

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Why These Related Problems?

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