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Finding the Third Proportional to 182,222,968.50 and 293,438,997

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Solution

The third proportional to 182,222,968.50 and 293,438,997 is: 472,533,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,222,968.50 : 293,438,997 = 293,438,997 : x
  2. Step 2: Convert to fraction form
    182,222,968.50/293,438,997 = 293,438,997/x
  3. Step 3: Cross multiply
    182,222,968.50x = 293,438,997 × 293,438,997
  4. Step 4: Simplify right side
    182,222,968.50x = 86,106,444,960,366,016
  5. Step 5: Solve for x
    x = 86,106,444,960,366,016/182,222,968.50
  6. Step 6: Final answer
    x = 472,533,433.46

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Why These Related Problems?

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