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Finding the Third Proportional to 147,492,768 and 212,469,104

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Solution

The third proportional to 147,492,768 and 212,469,104 is: 306,070,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492,768 : 212,469,104 = 212,469,104 : x
  2. Step 2: Convert to fraction form
    147,492,768/212,469,104 = 212,469,104/x
  3. Step 3: Cross multiply
    147,492,768x = 212,469,104 × 212,469,104
  4. Step 4: Simplify right side
    147,492,768x = 45,143,120,154,562,816
  5. Step 5: Solve for x
    x = 45,143,120,154,562,816/147,492,768
  6. Step 6: Final answer
    x = 306,070,058.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.