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Finding the Third Proportional to 220,971,943.69 and 307,243,825.31

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Solution

The third proportional to 220,971,943.69 and 307,243,825.31 is: 427,197,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,971,943.69 : 307,243,825.31 = 307,243,825.31 : x
  2. Step 2: Convert to fraction form
    220,971,943.69/307,243,825.31 = 307,243,825.31/x
  3. Step 3: Cross multiply
    220,971,943.69x = 307,243,825.31 × 307,243,825.31
  4. Step 4: Simplify right side
    220,971,943.69x = 94,398,768,192,658,016
  5. Step 5: Solve for x
    x = 94,398,768,192,658,016/220,971,943.69
  6. Step 6: Final answer
    x = 427,197,980.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.