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Finding the Third Proportional to 273,235,170 and 590,096,676

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Solution

The third proportional to 273,235,170 and 590,096,676 is: 1,274,411,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235,170 : 590,096,676 = 590,096,676 : x
  2. Step 2: Convert to fraction form
    273,235,170/590,096,676 = 590,096,676/x
  3. Step 3: Cross multiply
    273,235,170x = 590,096,676 × 590,096,676
  4. Step 4: Simplify right side
    273,235,170x = 348,214,087,026,248,960
  5. Step 5: Solve for x
    x = 348,214,087,026,248,960/273,235,170
  6. Step 6: Final answer
    x = 1,274,411,661.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.