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Finding the Third Proportional to 96,250,806 and 207,842,328

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Solution

The third proportional to 96,250,806 and 207,842,328 is: 448,811,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,806 : 207,842,328 = 207,842,328 : x
  2. Step 2: Convert to fraction form
    96,250,806/207,842,328 = 207,842,328/x
  3. Step 3: Cross multiply
    96,250,806x = 207,842,328 × 207,842,328
  4. Step 4: Simplify right side
    96,250,806x = 43,198,433,308,459,584
  5. Step 5: Solve for x
    x = 43,198,433,308,459,584/96,250,806
  6. Step 6: Final answer
    x = 448,811,133.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.