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Finding the Third Proportional to 142,145,770 and 214,968,256

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Solution

The third proportional to 142,145,770 and 214,968,256 is: 325,098,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145,770 : 214,968,256 = 214,968,256 : x
  2. Step 2: Convert to fraction form
    142,145,770/214,968,256 = 214,968,256/x
  3. Step 3: Cross multiply
    142,145,770x = 214,968,256 × 214,968,256
  4. Step 4: Simplify right side
    142,145,770x = 46,211,351,087,681,536
  5. Step 5: Solve for x
    x = 46,211,351,087,681,536/142,145,770
  6. Step 6: Final answer
    x = 325,098,320.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.