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Finding the Third Proportional to 146,090,889,003 and 314,167,954,440.75

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Solution

The third proportional to 146,090,889,003 and 314,167,954,440.75 is: 675,617,105,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,090,889,003 : 314,167,954,440.75 = 314,167,954,440.75 : x
  2. Step 2: Convert to fraction form
    146,090,889,003/314,167,954,440.75 = 314,167,954,440.75/x
  3. Step 3: Cross multiply
    146,090,889,003x = 314,167,954,440.75 × 314,167,954,440.75
  4. Step 4: Simplify right side
    146,090,889,003x = 98,701,503,597,485,163,020,288
  5. Step 5: Solve for x
    x = 98,701,503,597,485,163,020,288/146,090,889,003
  6. Step 6: Final answer
    x = 675,617,105,700.95

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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.