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Finding the Third Proportional to 146,090,889,006 and 314,167,954,446

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Solution

The third proportional to 146,090,889,006 and 314,167,954,446 is: 675,617,105,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090,889,006 : 314,167,954,446 = 314,167,954,446 : x
  2. Step 2: Convert to fraction form
    146,090,889,006/314,167,954,446 = 314,167,954,446/x
  3. Step 3: Cross multiply
    146,090,889,006x = 314,167,954,446 × 314,167,954,446
  4. Step 4: Simplify right side
    146,090,889,006x = 98,701,503,600,783,932,784,640
  5. Step 5: Solve for x
    x = 98,701,503,600,783,932,784,640/146,090,889,006
  6. Step 6: Final answer
    x = 675,617,105,709.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.