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Finding the Third Proportional to 68,983,344 and 108,214,344

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Solution

The third proportional to 68,983,344 and 108,214,344 is: 169,756,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,983,344 : 108,214,344 = 108,214,344 : x
  2. Step 2: Convert to fraction form
    68,983,344/108,214,344 = 108,214,344/x
  3. Step 3: Cross multiply
    68,983,344x = 108,214,344 × 108,214,344
  4. Step 4: Simplify right side
    68,983,344x = 11,710,344,247,350,336
  5. Step 5: Solve for x
    x = 11,710,344,247,350,336/68,983,344
  6. Step 6: Final answer
    x = 169,756,111.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.