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Finding the Third Proportional to 213,743,088 and 466,839,036

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Solution

The third proportional to 213,743,088 and 466,839,036 is: 1,019,629,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,743,088 : 466,839,036 = 466,839,036 : x
  2. Step 2: Convert to fraction form
    213,743,088/466,839,036 = 466,839,036/x
  3. Step 3: Cross multiply
    213,743,088x = 466,839,036 × 466,839,036
  4. Step 4: Simplify right side
    213,743,088x = 217,938,685,533,409,280
  5. Step 5: Solve for x
    x = 217,938,685,533,409,280/213,743,088
  6. Step 6: Final answer
    x = 1,019,629,161.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.