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Finding the Third Proportional to 175,448,094 and 380,184,492

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Solution

The third proportional to 175,448,094 and 380,184,492 is: 823,834,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,448,094 : 380,184,492 = 380,184,492 : x
  2. Step 2: Convert to fraction form
    175,448,094/380,184,492 = 380,184,492/x
  3. Step 3: Cross multiply
    175,448,094x = 380,184,492 × 380,184,492
  4. Step 4: Simplify right side
    175,448,094x = 144,540,247,957,298,048
  5. Step 5: Solve for x
    x = 144,540,247,957,298,048/175,448,094
  6. Step 6: Final answer
    x = 823,834,814.40

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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.