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Finding the Third Proportional to 123,166,858.50 and 172,194,518.25

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Solution

The third proportional to 123,166,858.50 and 172,194,518.25 is: 240,738,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,858.50 : 172,194,518.25 = 172,194,518.25 : x
  2. Step 2: Convert to fraction form
    123,166,858.50/172,194,518.25 = 172,194,518.25/x
  3. Step 3: Cross multiply
    123,166,858.50x = 172,194,518.25 × 172,194,518.25
  4. Step 4: Simplify right side
    123,166,858.50x = 29,650,952,115,349,584
  5. Step 5: Solve for x
    x = 29,650,952,115,349,584/123,166,858.50
  6. Step 6: Final answer
    x = 240,738,072.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.