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Finding the Third Proportional to 96,078,316,200.75 and 200,108,975,879.24

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Solution

The third proportional to 96,078,316,200.75 and 200,108,975,879.24 is: 416,780,849,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078,316,200.75 : 200,108,975,879.24 = 200,108,975,879.24 : x
  2. Step 2: Convert to fraction form
    96,078,316,200.75/200,108,975,879.24 = 200,108,975,879.24/x
  3. Step 3: Cross multiply
    96,078,316,200.75x = 200,108,975,879.24 × 200,108,975,879.24
  4. Step 4: Simplify right side
    96,078,316,200.75x = 40,043,602,227,438,255,341,568
  5. Step 5: Solve for x
    x = 40,043,602,227,438,255,341,568/96,078,316,200.75
  6. Step 6: Final answer
    x = 416,780,849,320.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.