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Finding the Third Proportional to 186,674,632 and 268,893,036

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Solution

The third proportional to 186,674,632 and 268,893,036 is: 387,323,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,674,632 : 268,893,036 = 268,893,036 : x
  2. Step 2: Convert to fraction form
    186,674,632/268,893,036 = 268,893,036/x
  3. Step 3: Cross multiply
    186,674,632x = 268,893,036 × 268,893,036
  4. Step 4: Simplify right side
    186,674,632x = 72,303,464,809,297,296
  5. Step 5: Solve for x
    x = 72,303,464,809,297,296/186,674,632
  6. Step 6: Final answer
    x = 387,323,462.40

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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.