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Finding the Third Proportional to 132,051,096 and 289,611,324

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Solution

The third proportional to 132,051,096 and 289,611,324 is: 635,168,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051,096 : 289,611,324 = 289,611,324 : x
  2. Step 2: Convert to fraction form
    132,051,096/289,611,324 = 289,611,324/x
  3. Step 3: Cross multiply
    132,051,096x = 289,611,324 × 289,611,324
  4. Step 4: Simplify right side
    132,051,096x = 83,874,718,989,032,976
  5. Step 5: Solve for x
    x = 83,874,718,989,032,976/132,051,096
  6. Step 6: Final answer
    x = 635,168,669.78

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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.