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Finding the Third Proportional to 92,978 and 219,461

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Solution

The third proportional to 92,978 and 219,461 is: 518,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,978 : 219,461 = 219,461 : x
  2. Step 2: Convert to fraction form
    92,978/219,461 = 219,461/x
  3. Step 3: Cross multiply
    92,978x = 219,461 × 219,461
  4. Step 4: Simplify right side
    92,978x = 48,163,130,521
  5. Step 5: Solve for x
    x = 48,163,130,521/92,978
  6. Step 6: Final answer
    x = 518,005.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.