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Finding the Third Proportional to 97,084,902 and 208,577,544

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Solution

The third proportional to 97,084,902 and 208,577,544 is: 448,108,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084,902 : 208,577,544 = 208,577,544 : x
  2. Step 2: Convert to fraction form
    97,084,902/208,577,544 = 208,577,544/x
  3. Step 3: Cross multiply
    97,084,902x = 208,577,544 × 208,577,544
  4. Step 4: Simplify right side
    97,084,902x = 43,504,591,861,071,936
  5. Step 5: Solve for x
    x = 43,504,591,861,071,936/97,084,902
  6. Step 6: Final answer
    x = 448,108,727.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.