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Finding the Third Proportional to 78,189,569 and 106,071,236

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Solution

The third proportional to 78,189,569 and 106,071,236 is: 143,895,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189,569 : 106,071,236 = 106,071,236 : x
  2. Step 2: Convert to fraction form
    78,189,569/106,071,236 = 106,071,236/x
  3. Step 3: Cross multiply
    78,189,569x = 106,071,236 × 106,071,236
  4. Step 4: Simplify right side
    78,189,569x = 11,251,107,106,567,696
  5. Step 5: Solve for x
    x = 11,251,107,106,567,696/78,189,569
  6. Step 6: Final answer
    x = 143,895,243.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.