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Finding the Third Proportional to 129,902,016 and 282,672,096

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Solution

The third proportional to 129,902,016 and 282,672,096 is: 615,106,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902,016 : 282,672,096 = 282,672,096 : x
  2. Step 2: Convert to fraction form
    129,902,016/282,672,096 = 282,672,096/x
  3. Step 3: Cross multiply
    129,902,016x = 282,672,096 × 282,672,096
  4. Step 4: Simplify right side
    129,902,016x = 79,903,513,857,033,216
  5. Step 5: Solve for x
    x = 79,903,513,857,033,216/129,902,016
  6. Step 6: Final answer
    x = 615,106,033.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.