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Finding the Third Proportional to 75,359,257 and 162,265,677

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Solution

The third proportional to 75,359,257 and 162,265,677 is: 349,395,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,359,257 : 162,265,677 = 162,265,677 : x
  2. Step 2: Convert to fraction form
    75,359,257/162,265,677 = 162,265,677/x
  3. Step 3: Cross multiply
    75,359,257x = 162,265,677 × 162,265,677
  4. Step 4: Simplify right side
    75,359,257x = 26,330,149,932,268,328
  5. Step 5: Solve for x
    x = 26,330,149,932,268,328/75,359,257
  6. Step 6: Final answer
    x = 349,395,030.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.