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Finding the Third Proportional to 145,506,714 and 219,770,739

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Solution

The third proportional to 145,506,714 and 219,770,739 is: 331,937,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,506,714 : 219,770,739 = 219,770,739 : x
  2. Step 2: Convert to fraction form
    145,506,714/219,770,739 = 219,770,739/x
  3. Step 3: Cross multiply
    145,506,714x = 219,770,739 × 219,770,739
  4. Step 4: Simplify right side
    145,506,714x = 48,299,177,720,606,120
  5. Step 5: Solve for x
    x = 48,299,177,720,606,120/145,506,714
  6. Step 6: Final answer
    x = 331,937,794.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.