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Finding the Third Proportional to 85,202,811 and 186,624,072

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Solution

The third proportional to 85,202,811 and 186,624,072 is: 408,772,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,202,811 : 186,624,072 = 186,624,072 : x
  2. Step 2: Convert to fraction form
    85,202,811/186,624,072 = 186,624,072/x
  3. Step 3: Cross multiply
    85,202,811x = 186,624,072 × 186,624,072
  4. Step 4: Simplify right side
    85,202,811x = 34,828,544,249,861,184
  5. Step 5: Solve for x
    x = 34,828,544,249,861,184/85,202,811
  6. Step 6: Final answer
    x = 408,772,244.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.