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Finding the Third Proportional to 68,181,784 and 146,482,736

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Solution

The third proportional to 68,181,784 and 146,482,736 is: 314,705,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181,784 : 146,482,736 = 146,482,736 : x
  2. Step 2: Convert to fraction form
    68,181,784/146,482,736 = 146,482,736/x
  3. Step 3: Cross multiply
    68,181,784x = 146,482,736 × 146,482,736
  4. Step 4: Simplify right side
    68,181,784x = 21,457,191,946,045,696
  5. Step 5: Solve for x
    x = 21,457,191,946,045,696/68,181,784
  6. Step 6: Final answer
    x = 314,705,639.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.