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Finding the Third Proportional to 228,135,392 and 492,634,240

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Solution

The third proportional to 228,135,392 and 492,634,240 is: 1,063,791,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,135,392 : 492,634,240 = 492,634,240 : x
  2. Step 2: Convert to fraction form
    228,135,392/492,634,240 = 492,634,240/x
  3. Step 3: Cross multiply
    228,135,392x = 492,634,240 × 492,634,240
  4. Step 4: Simplify right side
    228,135,392x = 242,688,494,420,377,600
  5. Step 5: Solve for x
    x = 242,688,494,420,377,600/228,135,392
  6. Step 6: Final answer
    x = 1,063,791,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.