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Finding the Third Proportional to 84,136,093.25 and 129,243,296

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Solution

The third proportional to 84,136,093.25 and 129,243,296 is: 198,533,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,136,093.25 : 129,243,296 = 129,243,296 : x
  2. Step 2: Convert to fraction form
    84,136,093.25/129,243,296 = 129,243,296/x
  3. Step 3: Cross multiply
    84,136,093.25x = 129,243,296 × 129,243,296
  4. Step 4: Simplify right side
    84,136,093.25x = 16,703,829,560,943,616
  5. Step 5: Solve for x
    x = 16,703,829,560,943,616/84,136,093.25
  6. Step 6: Final answer
    x = 198,533,458.30

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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.