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Finding the Third Proportional to 85,538,464 and 123,588,336

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Solution

The third proportional to 85,538,464 and 123,588,336 is: 178,563,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,538,464 : 123,588,336 = 123,588,336 : x
  2. Step 2: Convert to fraction form
    85,538,464/123,588,336 = 123,588,336/x
  3. Step 3: Cross multiply
    85,538,464x = 123,588,336 × 123,588,336
  4. Step 4: Simplify right side
    85,538,464x = 15,274,076,795,248,896
  5. Step 5: Solve for x
    x = 15,274,076,795,248,896/85,538,464
  6. Step 6: Final answer
    x = 178,563,842.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.