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Finding the Third Proportional to 123,402,159,104 and 173,777,432,592

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Solution

The third proportional to 123,402,159,104 and 173,777,432,592 is: 244,716,918,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402,159,104 : 173,777,432,592 = 173,777,432,592 : x
  2. Step 2: Convert to fraction form
    123,402,159,104/173,777,432,592 = 173,777,432,592/x
  3. Step 3: Cross multiply
    123,402,159,104x = 173,777,432,592 × 173,777,432,592
  4. Step 4: Simplify right side
    123,402,159,104x = 30,198,596,078,267,105,542,144
  5. Step 5: Solve for x
    x = 30,198,596,078,267,105,542,144/123,402,159,104
  6. Step 6: Final answer
    x = 244,716,918,225.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.