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Finding the Third Proportional to 96,990,192 and 207,428,832

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Solution

The third proportional to 96,990,192 and 207,428,832 is: 443,619,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,990,192 : 207,428,832 = 207,428,832 : x
  2. Step 2: Convert to fraction form
    96,990,192/207,428,832 = 207,428,832/x
  3. Step 3: Cross multiply
    96,990,192x = 207,428,832 × 207,428,832
  4. Step 4: Simplify right side
    96,990,192x = 43,026,720,344,884,224
  5. Step 5: Solve for x
    x = 43,026,720,344,884,224/96,990,192
  6. Step 6: Final answer
    x = 443,619,292.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.