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Finding the Third Proportional to 103,126,286 and 149,138,823

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Solution

The third proportional to 103,126,286 and 149,138,823 is: 215,681,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,126,286 : 149,138,823 = 149,138,823 : x
  2. Step 2: Convert to fraction form
    103,126,286/149,138,823 = 149,138,823/x
  3. Step 3: Cross multiply
    103,126,286x = 149,138,823 × 149,138,823
  4. Step 4: Simplify right side
    103,126,286x = 22,242,388,525,825,328
  5. Step 5: Solve for x
    x = 22,242,388,525,825,328/103,126,286
  6. Step 6: Final answer
    x = 215,681,077.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.