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Finding the Third Proportional to 96,109,604 and 199,032,568

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Solution

The third proportional to 96,109,604 and 199,032,568 is: 412,174,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,109,604 : 199,032,568 = 199,032,568 : x
  2. Step 2: Convert to fraction form
    96,109,604/199,032,568 = 199,032,568/x
  3. Step 3: Cross multiply
    96,109,604x = 199,032,568 × 199,032,568
  4. Step 4: Simplify right side
    96,109,604x = 39,613,963,124,674,624
  5. Step 5: Solve for x
    x = 39,613,963,124,674,624/96,109,604
  6. Step 6: Final answer
    x = 412,174,865.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.