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Finding the Third Proportional to 166,751,822 and 362,209,370.50

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Solution

The third proportional to 166,751,822 and 362,209,370.50 is: 786,771,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,751,822 : 362,209,370.50 = 362,209,370.50 : x
  2. Step 2: Convert to fraction form
    166,751,822/362,209,370.50 = 362,209,370.50/x
  3. Step 3: Cross multiply
    166,751,822x = 362,209,370.50 × 362,209,370.50
  4. Step 4: Simplify right side
    166,751,822x = 131,195,628,078,006,272
  5. Step 5: Solve for x
    x = 131,195,628,078,006,272/166,751,822
  6. Step 6: Final answer
    x = 786,771,781.59

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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.