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Finding the Third Proportional to 182,222,958.66 and 293,438,982.23

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Solution

The third proportional to 182,222,958.66 and 293,438,982.23 is: 472,533,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,222,958.66 : 293,438,982.23 = 293,438,982.23 : x
  2. Step 2: Convert to fraction form
    182,222,958.66/293,438,982.23 = 293,438,982.23/x
  3. Step 3: Cross multiply
    182,222,958.66x = 293,438,982.23 × 293,438,982.23
  4. Step 4: Simplify right side
    182,222,958.66x = 86,106,436,294,748,784
  5. Step 5: Solve for x
    x = 86,106,436,294,748,784/182,222,958.66
  6. Step 6: Final answer
    x = 472,533,411.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.