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Finding the Third Proportional to 147,114,096 and 312,160,512

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Solution

The third proportional to 147,114,096 and 312,160,512 is: 662,371,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,114,096 : 312,160,512 = 312,160,512 : x
  2. Step 2: Convert to fraction form
    147,114,096/312,160,512 = 312,160,512/x
  3. Step 3: Cross multiply
    147,114,096x = 312,160,512 × 312,160,512
  4. Step 4: Simplify right side
    147,114,096x = 97,444,185,252,102,144
  5. Step 5: Solve for x
    x = 97,444,185,252,102,144/147,114,096
  6. Step 6: Final answer
    x = 662,371,505.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.