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Finding the Third Proportional to 215,121,600 and 325,242,864

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Solution

The third proportional to 215,121,600 and 325,242,864 is: 491,735,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,121,600 : 325,242,864 = 325,242,864 : x
  2. Step 2: Convert to fraction form
    215,121,600/325,242,864 = 325,242,864/x
  3. Step 3: Cross multiply
    215,121,600x = 325,242,864 × 325,242,864
  4. Step 4: Simplify right side
    215,121,600x = 105,782,920,582,922,496
  5. Step 5: Solve for x
    x = 105,782,920,582,922,496/215,121,600
  6. Step 6: Final answer
    x = 491,735,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.