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Finding the Third Proportional to 186,445,064 and 259,236,959

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Solution

The third proportional to 186,445,064 and 259,236,959 is: 360,448,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,445,064 : 259,236,959 = 259,236,959 : x
  2. Step 2: Convert to fraction form
    186,445,064/259,236,959 = 259,236,959/x
  3. Step 3: Cross multiply
    186,445,064x = 259,236,959 × 259,236,959
  4. Step 4: Simplify right side
    186,445,064x = 67,203,800,911,567,680
  5. Step 5: Solve for x
    x = 67,203,800,911,567,680/186,445,064
  6. Step 6: Final answer
    x = 360,448,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.