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Finding the Third Proportional to 138,544,164 and 299,054,556

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Solution

The third proportional to 138,544,164 and 299,054,556 is: 645,524,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544,164 : 299,054,556 = 299,054,556 : x
  2. Step 2: Convert to fraction form
    138,544,164/299,054,556 = 299,054,556/x
  3. Step 3: Cross multiply
    138,544,164x = 299,054,556 × 299,054,556
  4. Step 4: Simplify right side
    138,544,164x = 89,433,627,464,357,136
  5. Step 5: Solve for x
    x = 89,433,627,464,357,136/138,544,164
  6. Step 6: Final answer
    x = 645,524,321.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.