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Finding the Third Proportional to 123,111 and 264,612.94

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Solution

The third proportional to 123,111 and 264,612.94 is: 568,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,111 : 264,612.94 = 264,612.94 : x
  2. Step 2: Convert to fraction form
    123,111/264,612.94 = 264,612.94/x
  3. Step 3: Cross multiply
    123,111x = 264,612.94 × 264,612.94
  4. Step 4: Simplify right side
    123,111x = 70,020,006,692.38
  5. Step 5: Solve for x
    x = 70,020,006,692.38/123,111
  6. Step 6: Final answer
    x = 568,755.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.