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Finding the Third Proportional to 69,584,196 and 148,126,344

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Solution

The third proportional to 69,584,196 and 148,126,344 is: 315,321,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584,196 : 148,126,344 = 148,126,344 : x
  2. Step 2: Convert to fraction form
    69,584,196/148,126,344 = 148,126,344/x
  3. Step 3: Cross multiply
    69,584,196x = 148,126,344 × 148,126,344
  4. Step 4: Simplify right side
    69,584,196x = 21,941,413,786,806,336
  5. Step 5: Solve for x
    x = 21,941,413,786,806,336/69,584,196
  6. Step 6: Final answer
    x = 315,321,797.88

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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.