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Finding the Third Proportional to 272,030,884.50 and 590,247,313.50

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Solution

The third proportional to 272,030,884.50 and 590,247,313.50 is: 1,280,707,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,030,884.50 : 590,247,313.50 = 590,247,313.50 : x
  2. Step 2: Convert to fraction form
    272,030,884.50/590,247,313.50 = 590,247,313.50/x
  3. Step 3: Cross multiply
    272,030,884.50x = 590,247,313.50 × 590,247,313.50
  4. Step 4: Simplify right side
    272,030,884.50x = 348,391,891,093,967,296
  5. Step 5: Solve for x
    x = 348,391,891,093,967,296/272,030,884.50
  6. Step 6: Final answer
    x = 1,280,707,121.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.