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Finding the Third Proportional to 199,432,967 and 306,353,456

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Solution

The third proportional to 199,432,967 and 306,353,456 is: 470,596,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,432,967 : 306,353,456 = 306,353,456 : x
  2. Step 2: Convert to fraction form
    199,432,967/306,353,456 = 306,353,456/x
  3. Step 3: Cross multiply
    199,432,967x = 306,353,456 × 306,353,456
  4. Step 4: Simplify right side
    199,432,967x = 93,852,440,003,143,936
  5. Step 5: Solve for x
    x = 93,852,440,003,143,936/199,432,967
  6. Step 6: Final answer
    x = 470,596,418.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.