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Finding the Third Proportional to 102,873,513.38 and 156,722,029.88

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Solution

The third proportional to 102,873,513.38 and 156,722,029.88 is: 238,757,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873,513.38 : 156,722,029.88 = 156,722,029.88 : x
  2. Step 2: Convert to fraction form
    102,873,513.38/156,722,029.88 = 156,722,029.88/x
  3. Step 3: Cross multiply
    102,873,513.38x = 156,722,029.88 × 156,722,029.88
  4. Step 4: Simplify right side
    102,873,513.38x = 24,561,794,648,140,392
  5. Step 5: Solve for x
    x = 24,561,794,648,140,392/102,873,513.38
  6. Step 6: Final answer
    x = 238,757,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.