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Finding the Third Proportional to 73,238,256 and 107,615,208

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Solution

The third proportional to 73,238,256 and 107,615,208 is: 158,128,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,238,256 : 107,615,208 = 107,615,208 : x
  2. Step 2: Convert to fraction form
    73,238,256/107,615,208 = 107,615,208/x
  3. Step 3: Cross multiply
    73,238,256x = 107,615,208 × 107,615,208
  4. Step 4: Simplify right side
    73,238,256x = 11,581,032,992,883,264
  5. Step 5: Solve for x
    x = 11,581,032,992,883,264/73,238,256
  6. Step 6: Final answer
    x = 158,128,191.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.