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Finding the Third Proportional to 67,026,666.50 and 102,489,467.50

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Solution

The third proportional to 67,026,666.50 and 102,489,467.50 is: 156,715,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,026,666.50 : 102,489,467.50 = 102,489,467.50 : x
  2. Step 2: Convert to fraction form
    67,026,666.50/102,489,467.50 = 102,489,467.50/x
  3. Step 3: Cross multiply
    67,026,666.50x = 102,489,467.50 × 102,489,467.50
  4. Step 4: Simplify right side
    67,026,666.50x = 10,504,090,948,433,556
  5. Step 5: Solve for x
    x = 10,504,090,948,433,556/67,026,666.50
  6. Step 6: Final answer
    x = 156,715,103.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.