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Finding the Third Proportional to 182,222,961 and 293,438,985

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Solution

The third proportional to 182,222,961 and 293,438,985 is: 472,533,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,222,961 : 293,438,985 = 293,438,985 : x
  2. Step 2: Convert to fraction form
    182,222,961/293,438,985 = 293,438,985/x
  3. Step 3: Cross multiply
    182,222,961x = 293,438,985 × 293,438,985
  4. Step 4: Simplify right side
    182,222,961x = 86,106,437,917,830,224
  5. Step 5: Solve for x
    x = 86,106,437,917,830,224/182,222,961
  6. Step 6: Final answer
    x = 472,533,414.26

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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.