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Finding the Third Proportional to 84,964,612.50 and 131,200,230.09

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Solution

The third proportional to 84,964,612.50 and 131,200,230.09 is: 202,596,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,964,612.50 : 131,200,230.09 = 131,200,230.09 : x
  2. Step 2: Convert to fraction form
    84,964,612.50/131,200,230.09 = 131,200,230.09/x
  3. Step 3: Cross multiply
    84,964,612.50x = 131,200,230.09 × 131,200,230.09
  4. Step 4: Simplify right side
    84,964,612.50x = 17,213,500,376,652,944
  5. Step 5: Solve for x
    x = 17,213,500,376,652,944/84,964,612.50
  6. Step 6: Final answer
    x = 202,596,114.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.