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Finding the Third Proportional to 203,181,705.50 and 445,180,747

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Solution

The third proportional to 203,181,705.50 and 445,180,747 is: 975,412,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181,705.50 : 445,180,747 = 445,180,747 : x
  2. Step 2: Convert to fraction form
    203,181,705.50/445,180,747 = 445,180,747/x
  3. Step 3: Cross multiply
    203,181,705.50x = 445,180,747 × 445,180,747
  4. Step 4: Simplify right side
    203,181,705.50x = 198,185,897,499,478,016
  5. Step 5: Solve for x
    x = 198,185,897,499,478,016/203,181,705.50
  6. Step 6: Final answer
    x = 975,412,117.01

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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.