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Finding the Third Proportional to 201,837,512 and 441,886,264

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Solution

The third proportional to 201,837,512 and 441,886,264 is: 967,429,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837,512 : 441,886,264 = 441,886,264 : x
  2. Step 2: Convert to fraction form
    201,837,512/441,886,264 = 441,886,264/x
  3. Step 3: Cross multiply
    201,837,512x = 441,886,264 × 441,886,264
  4. Step 4: Simplify right side
    201,837,512x = 195,263,470,311,877,696
  5. Step 5: Solve for x
    x = 195,263,470,311,877,696/201,837,512
  6. Step 6: Final answer
    x = 967,429,039.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.