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Finding the Third Proportional to 75,478,157.25 and 164,620,007.25

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Solution

The third proportional to 75,478,157.25 and 164,620,007.25 is: 359,040,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,478,157.25 : 164,620,007.25 = 164,620,007.25 : x
  2. Step 2: Convert to fraction form
    75,478,157.25/164,620,007.25 = 164,620,007.25/x
  3. Step 3: Cross multiply
    75,478,157.25x = 164,620,007.25 × 164,620,007.25
  4. Step 4: Simplify right side
    75,478,157.25x = 27,099,746,786,990,052
  5. Step 5: Solve for x
    x = 27,099,746,786,990,052/75,478,157.25
  6. Step 6: Final answer
    x = 359,040,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.