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Finding the Third Proportional to 145,453,094 and 313,979,470

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Solution

The third proportional to 145,453,094 and 313,979,470 is: 677,765,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,094 : 313,979,470 = 313,979,470 : x
  2. Step 2: Convert to fraction form
    145,453,094/313,979,470 = 313,979,470/x
  3. Step 3: Cross multiply
    145,453,094x = 313,979,470 × 313,979,470
  4. Step 4: Simplify right side
    145,453,094x = 98,583,107,581,480,896
  5. Step 5: Solve for x
    x = 98,583,107,581,480,896/145,453,094
  6. Step 6: Final answer
    x = 677,765,627.88

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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.