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Finding the Third Proportional to 203,181,698 and 445,180,733

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Solution

The third proportional to 203,181,698 and 445,180,733 is: 975,412,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181,698 : 445,180,733 = 445,180,733 : x
  2. Step 2: Convert to fraction form
    203,181,698/445,180,733 = 445,180,733/x
  3. Step 3: Cross multiply
    203,181,698x = 445,180,733 × 445,180,733
  4. Step 4: Simplify right side
    203,181,698x = 198,185,885,034,417,280
  5. Step 5: Solve for x
    x = 198,185,885,034,417,280/203,181,698
  6. Step 6: Final answer
    x = 975,412,091.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.