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Finding the Third Proportional to 146,680,038 and 310,844,844

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Solution

The third proportional to 146,680,038 and 310,844,844 is: 658,743,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680,038 : 310,844,844 = 310,844,844 : x
  2. Step 2: Convert to fraction form
    146,680,038/310,844,844 = 310,844,844/x
  3. Step 3: Cross multiply
    146,680,038x = 310,844,844 × 310,844,844
  4. Step 4: Simplify right side
    146,680,038x = 96,624,517,041,384,336
  5. Step 5: Solve for x
    x = 96,624,517,041,384,336/146,680,038
  6. Step 6: Final answer
    x = 658,743,468.84

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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.