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Finding the Third Proportional to 97,449,414 and 216,686,980

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Solution

The third proportional to 97,449,414 and 216,686,980 is: 481,821,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449,414 : 216,686,980 = 216,686,980 : x
  2. Step 2: Convert to fraction form
    97,449,414/216,686,980 = 216,686,980/x
  3. Step 3: Cross multiply
    97,449,414x = 216,686,980 × 216,686,980
  4. Step 4: Simplify right side
    97,449,414x = 46,953,247,301,520,400
  5. Step 5: Solve for x
    x = 46,953,247,301,520,400/97,449,414
  6. Step 6: Final answer
    x = 481,821,751.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.