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Finding the Third Proportional to 75,107,054 and 158,284,138

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Solution

The third proportional to 75,107,054 and 158,284,138 is: 333,575,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107,054 : 158,284,138 = 158,284,138 : x
  2. Step 2: Convert to fraction form
    75,107,054/158,284,138 = 158,284,138/x
  3. Step 3: Cross multiply
    75,107,054x = 158,284,138 × 158,284,138
  4. Step 4: Simplify right side
    75,107,054x = 25,053,868,342,403,044
  5. Step 5: Solve for x
    x = 25,053,868,342,403,044/75,107,054
  6. Step 6: Final answer
    x = 333,575,436.77

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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.