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Finding the Third Proportional to 186,207,772 and 404,646,578

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Solution

The third proportional to 186,207,772 and 404,646,578 is: 879,334,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207,772 : 404,646,578 = 404,646,578 : x
  2. Step 2: Convert to fraction form
    186,207,772/404,646,578 = 404,646,578/x
  3. Step 3: Cross multiply
    186,207,772x = 404,646,578 × 404,646,578
  4. Step 4: Simplify right side
    186,207,772x = 163,738,853,087,110,080
  5. Step 5: Solve for x
    x = 163,738,853,087,110,080/186,207,772
  6. Step 6: Final answer
    x = 879,334,150.92

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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.