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Finding the Third Proportional to 138,453,843 and 295,442,430

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Solution

The third proportional to 138,453,843 and 295,442,430 is: 630,435,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453,843 : 295,442,430 = 295,442,430 : x
  2. Step 2: Convert to fraction form
    138,453,843/295,442,430 = 295,442,430/x
  3. Step 3: Cross multiply
    138,453,843x = 295,442,430 × 295,442,430
  4. Step 4: Simplify right side
    138,453,843x = 87,286,229,444,304,896
  5. Step 5: Solve for x
    x = 87,286,229,444,304,896/138,453,843
  6. Step 6: Final answer
    x = 630,435,584.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.