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Finding the Third Proportional to 186,697,239 and 269,722,047

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Solution

The third proportional to 186,697,239 and 269,722,047 is: 389,668,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,697,239 : 269,722,047 = 269,722,047 : x
  2. Step 2: Convert to fraction form
    186,697,239/269,722,047 = 269,722,047/x
  3. Step 3: Cross multiply
    186,697,239x = 269,722,047 × 269,722,047
  4. Step 4: Simplify right side
    186,697,239x = 72,749,982,637,870,208
  5. Step 5: Solve for x
    x = 72,749,982,637,870,208/186,697,239
  6. Step 6: Final answer
    x = 389,668,229.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.