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Finding the Third Proportional to 202,586,484 and 412,332,492

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Solution

The third proportional to 202,586,484 and 412,332,492 is: 839,237,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,586,484 : 412,332,492 = 412,332,492 : x
  2. Step 2: Convert to fraction form
    202,586,484/412,332,492 = 412,332,492/x
  3. Step 3: Cross multiply
    202,586,484x = 412,332,492 × 412,332,492
  4. Step 4: Simplify right side
    202,586,484x = 170,018,083,958,930,048
  5. Step 5: Solve for x
    x = 170,018,083,958,930,048/202,586,484
  6. Step 6: Final answer
    x = 839,237,053.74

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.