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Finding the Third Proportional to 202,101,334 and 438,505,628

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Solution

The third proportional to 202,101,334 and 438,505,628 is: 951,439,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,101,334 : 438,505,628 = 438,505,628 : x
  2. Step 2: Convert to fraction form
    202,101,334/438,505,628 = 438,505,628/x
  3. Step 3: Cross multiply
    202,101,334x = 438,505,628 × 438,505,628
  4. Step 4: Simplify right side
    202,101,334x = 192,287,185,787,674,368
  5. Step 5: Solve for x
    x = 192,287,185,787,674,368/202,101,334
  6. Step 6: Final answer
    x = 951,439,468.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.