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Finding the Third Proportional to 202,215,018 and 435,578,380

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Solution

The third proportional to 202,215,018 and 435,578,380 is: 938,251,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,215,018 : 435,578,380 = 435,578,380 : x
  2. Step 2: Convert to fraction form
    202,215,018/435,578,380 = 435,578,380/x
  3. Step 3: Cross multiply
    202,215,018x = 435,578,380 × 435,578,380
  4. Step 4: Simplify right side
    202,215,018x = 189,728,525,123,424,384
  5. Step 5: Solve for x
    x = 189,728,525,123,424,384/202,215,018
  6. Step 6: Final answer
    x = 938,251,406.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.