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Finding the Third Proportional to 186,014,313 and 400,457,682

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Solution

The third proportional to 186,014,313 and 400,457,682 is: 862,118,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,014,313 : 400,457,682 = 400,457,682 : x
  2. Step 2: Convert to fraction form
    186,014,313/400,457,682 = 400,457,682/x
  3. Step 3: Cross multiply
    186,014,313x = 400,457,682 × 400,457,682
  4. Step 4: Simplify right side
    186,014,313x = 160,366,355,072,813,120
  5. Step 5: Solve for x
    x = 160,366,355,072,813,120/186,014,313
  6. Step 6: Final answer
    x = 862,118,363.29

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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.