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Finding the Third Proportional to 68,133,751 and 102,175,603

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Solution

The third proportional to 68,133,751 and 102,175,603 is: 153,225,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,133,751 : 102,175,603 = 102,175,603 : x
  2. Step 2: Convert to fraction form
    68,133,751/102,175,603 = 102,175,603/x
  3. Step 3: Cross multiply
    68,133,751x = 102,175,603 × 102,175,603
  4. Step 4: Simplify right side
    68,133,751x = 10,439,853,848,413,608
  5. Step 5: Solve for x
    x = 10,439,853,848,413,608/68,133,751
  6. Step 6: Final answer
    x = 153,225,878.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.