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Finding the Third Proportional to 69,362,382 and 144,463,078

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Solution

The third proportional to 69,362,382 and 144,463,078 is: 300,877,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362,382 : 144,463,078 = 144,463,078 : x
  2. Step 2: Convert to fraction form
    69,362,382/144,463,078 = 144,463,078/x
  3. Step 3: Cross multiply
    69,362,382x = 144,463,078 × 144,463,078
  4. Step 4: Simplify right side
    69,362,382x = 20,869,580,905,234,084
  5. Step 5: Solve for x
    x = 20,869,580,905,234,084/69,362,382
  6. Step 6: Final answer
    x = 300,877,511.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.