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Finding the Third Proportional to 74,731,745.50 and 105,192,907

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Solution

The third proportional to 74,731,745.50 and 105,192,907 is: 148,070,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731,745.50 : 105,192,907 = 105,192,907 : x
  2. Step 2: Convert to fraction form
    74,731,745.50/105,192,907 = 105,192,907/x
  3. Step 3: Cross multiply
    74,731,745.50x = 105,192,907 × 105,192,907
  4. Step 4: Simplify right side
    74,731,745.50x = 11,065,547,683,110,648
  5. Step 5: Solve for x
    x = 11,065,547,683,110,648/74,731,745.50
  6. Step 6: Final answer
    x = 148,070,242.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.