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Finding the Third Proportional to 68,200,144 and 146,103,972

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Solution

The third proportional to 68,200,144 and 146,103,972 is: 312,995,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200,144 : 146,103,972 = 146,103,972 : x
  2. Step 2: Convert to fraction form
    68,200,144/146,103,972 = 146,103,972/x
  3. Step 3: Cross multiply
    68,200,144x = 146,103,972 × 146,103,972
  4. Step 4: Simplify right side
    68,200,144x = 21,346,370,634,176,784
  5. Step 5: Solve for x
    x = 21,346,370,634,176,784/68,200,144
  6. Step 6: Final answer
    x = 312,995,975.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.