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Finding the Third Proportional to 117,698,670 and 161,568,141

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Solution

The third proportional to 117,698,670 and 161,568,141 is: 221,788,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698,670 : 161,568,141 = 161,568,141 : x
  2. Step 2: Convert to fraction form
    117,698,670/161,568,141 = 161,568,141/x
  3. Step 3: Cross multiply
    117,698,670x = 161,568,141 × 161,568,141
  4. Step 4: Simplify right side
    117,698,670x = 26,104,264,186,195,880
  5. Step 5: Solve for x
    x = 26,104,264,186,195,880/117,698,670
  6. Step 6: Final answer
    x = 221,788,947.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.