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Finding the Third Proportional to 80,706,114 and 113,246,660.25

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Solution

The third proportional to 80,706,114 and 113,246,660.25 is: 158,907,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706,114 : 113,246,660.25 = 113,246,660.25 : x
  2. Step 2: Convert to fraction form
    80,706,114/113,246,660.25 = 113,246,660.25/x
  3. Step 3: Cross multiply
    80,706,114x = 113,246,660.25 × 113,246,660.25
  4. Step 4: Simplify right side
    80,706,114x = 12,824,806,057,778,930
  5. Step 5: Solve for x
    x = 12,824,806,057,778,930/80,706,114
  6. Step 6: Final answer
    x = 158,907,490.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.