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Finding the Third Proportional to 85,172,717 and 185,292,212

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Solution

The third proportional to 85,172,717 and 185,292,212 is: 403,100,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172,717 : 185,292,212 = 185,292,212 : x
  2. Step 2: Convert to fraction form
    85,172,717/185,292,212 = 185,292,212/x
  3. Step 3: Cross multiply
    85,172,717x = 185,292,212 × 185,292,212
  4. Step 4: Simplify right side
    85,172,717x = 34,333,203,827,852,944
  5. Step 5: Solve for x
    x = 34,333,203,827,852,944/85,172,717
  6. Step 6: Final answer
    x = 403,100,958.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.