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Finding the Third Proportional to 97,765,399 and 212,345,927

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Solution

The third proportional to 97,765,399 and 212,345,927 is: 461,214,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765,399 : 212,345,927 = 212,345,927 : x
  2. Step 2: Convert to fraction form
    97,765,399/212,345,927 = 212,345,927/x
  3. Step 3: Cross multiply
    97,765,399x = 212,345,927 × 212,345,927
  4. Step 4: Simplify right side
    97,765,399x = 45,090,792,713,489,328
  5. Step 5: Solve for x
    x = 45,090,792,713,489,328/97,765,399
  6. Step 6: Final answer
    x = 461,214,224.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.