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Finding the Third Proportional to 75,071,088 and 164,491,056

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Solution

The third proportional to 75,071,088 and 164,491,056 is: 360,422,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,071,088 : 164,491,056 = 164,491,056 : x
  2. Step 2: Convert to fraction form
    75,071,088/164,491,056 = 164,491,056/x
  3. Step 3: Cross multiply
    75,071,088x = 164,491,056 × 164,491,056
  4. Step 4: Simplify right side
    75,071,088x = 27,057,307,503,995,136
  5. Step 5: Solve for x
    x = 27,057,307,503,995,136/75,071,088
  6. Step 6: Final answer
    x = 360,422,477.21

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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.