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Finding the Third Proportional to 107,668,296 and 161,462,911.50

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Solution

The third proportional to 107,668,296 and 161,462,911.50 is: 242,135,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,668,296 : 161,462,911.50 = 161,462,911.50 : x
  2. Step 2: Convert to fraction form
    107,668,296/161,462,911.50 = 161,462,911.50/x
  3. Step 3: Cross multiply
    107,668,296x = 161,462,911.50 × 161,462,911.50
  4. Step 4: Simplify right side
    107,668,296x = 26,070,271,790,056,832
  5. Step 5: Solve for x
    x = 26,070,271,790,056,832/107,668,296
  6. Step 6: Final answer
    x = 242,135,083.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.