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Finding the Third Proportional to 75,107,053.50 and 158,284,137

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Solution

The third proportional to 75,107,053.50 and 158,284,137 is: 333,575,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107,053.50 : 158,284,137 = 158,284,137 : x
  2. Step 2: Convert to fraction form
    75,107,053.50/158,284,137 = 158,284,137/x
  3. Step 3: Cross multiply
    75,107,053.50x = 158,284,137 × 158,284,137
  4. Step 4: Simplify right side
    75,107,053.50x = 25,053,868,025,834,768
  5. Step 5: Solve for x
    x = 25,053,868,025,834,768/75,107,053.50
  6. Step 6: Final answer
    x = 333,575,434.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.