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Finding the Third Proportional to 145,453,070 and 313,979,422

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Solution

The third proportional to 145,453,070 and 313,979,422 is: 677,765,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,070 : 313,979,422 = 313,979,422 : x
  2. Step 2: Convert to fraction form
    145,453,070/313,979,422 = 313,979,422/x
  3. Step 3: Cross multiply
    145,453,070x = 313,979,422 × 313,979,422
  4. Step 4: Simplify right side
    145,453,070x = 98,583,077,439,454,080
  5. Step 5: Solve for x
    x = 98,583,077,439,454,080/145,453,070
  6. Step 6: Final answer
    x = 677,765,532.48

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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.