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Finding the Third Proportional to 236,157,084 and 512,456,120

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Solution

The third proportional to 236,157,084 and 512,456,120 is: 1,112,019,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,157,084 : 512,456,120 = 512,456,120 : x
  2. Step 2: Convert to fraction form
    236,157,084/512,456,120 = 512,456,120/x
  3. Step 3: Cross multiply
    236,157,084x = 512,456,120 × 512,456,120
  4. Step 4: Simplify right side
    236,157,084x = 262,611,274,925,454,400
  5. Step 5: Solve for x
    x = 262,611,274,925,454,400/236,157,084
  6. Step 6: Final answer
    x = 1,112,019,468.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.