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Finding the Third Proportional to 68,375,450 and 105,731,031

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Solution

The third proportional to 68,375,450 and 105,731,031 is: 163,495,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,375,450 : 105,731,031 = 105,731,031 : x
  2. Step 2: Convert to fraction form
    68,375,450/105,731,031 = 105,731,031/x
  3. Step 3: Cross multiply
    68,375,450x = 105,731,031 × 105,731,031
  4. Step 4: Simplify right side
    68,375,450x = 11,179,050,916,322,960
  5. Step 5: Solve for x
    x = 11,179,050,916,322,960/68,375,450
  6. Step 6: Final answer
    x = 163,495,098.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.