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Finding the Third Proportional to 161,039,680,879.50 and 240,163,004,205

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Solution

The third proportional to 161,039,680,879.50 and 240,163,004,205 is: 358,161,841,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,039,680,879.50 : 240,163,004,205 = 240,163,004,205 : x
  2. Step 2: Convert to fraction form
    161,039,680,879.50/240,163,004,205 = 240,163,004,205/x
  3. Step 3: Cross multiply
    161,039,680,879.50x = 240,163,004,205 × 240,163,004,205
  4. Step 4: Simplify right side
    161,039,680,879.50x = 57,678,268,588,770,847,621,120
  5. Step 5: Solve for x
    x = 57,678,268,588,770,847,621,120/161,039,680,879.50
  6. Step 6: Final answer
    x = 358,161,841,067.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.