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Finding the Third Proportional to 216,977,524 and 327,484,056

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Solution

The third proportional to 216,977,524 and 327,484,056 is: 494,271,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,524 : 327,484,056 = 327,484,056 : x
  2. Step 2: Convert to fraction form
    216,977,524/327,484,056 = 327,484,056/x
  3. Step 3: Cross multiply
    216,977,524x = 327,484,056 × 327,484,056
  4. Step 4: Simplify right side
    216,977,524x = 107,245,806,934,211,136
  5. Step 5: Solve for x
    x = 107,245,806,934,211,136/216,977,524
  6. Step 6: Final answer
    x = 494,271,503.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.