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Finding the Third Proportional to 145,968 and 221,693.50

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Solution

The third proportional to 145,968 and 221,693.50 is: 336,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 221,693.50 = 221,693.50 : x
  2. Step 2: Convert to fraction form
    145,968/221,693.50 = 221,693.50/x
  3. Step 3: Cross multiply
    145,968x = 221,693.50 × 221,693.50
  4. Step 4: Simplify right side
    145,968x = 49,148,007,942.25
  5. Step 5: Solve for x
    x = 49,148,007,942.25/145,968
  6. Step 6: Final answer
    x = 336,703.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.