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Finding the Third Proportional to 57,139,344 and 85,839,264

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Solution

The third proportional to 57,139,344 and 85,839,264 is: 128,954,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139,344 : 85,839,264 = 85,839,264 : x
  2. Step 2: Convert to fraction form
    57,139,344/85,839,264 = 85,839,264/x
  3. Step 3: Cross multiply
    57,139,344x = 85,839,264 × 85,839,264
  4. Step 4: Simplify right side
    57,139,344x = 7,368,379,244,061,696
  5. Step 5: Solve for x
    x = 7,368,379,244,061,696/57,139,344
  6. Step 6: Final answer
    x = 128,954,564.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.