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Finding the Third Proportional to 186,207,768 and 404,646,570

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Solution

The third proportional to 186,207,768 and 404,646,570 is: 879,334,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207,768 : 404,646,570 = 404,646,570 : x
  2. Step 2: Convert to fraction form
    186,207,768/404,646,570 = 404,646,570/x
  3. Step 3: Cross multiply
    186,207,768x = 404,646,570 × 404,646,570
  4. Step 4: Simplify right side
    186,207,768x = 163,738,846,612,764,896
  5. Step 5: Solve for x
    x = 163,738,846,612,764,896/186,207,768
  6. Step 6: Final answer
    x = 879,334,135.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.