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Finding the Third Proportional to 201,517,442 and 417,374,980

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Solution

The third proportional to 201,517,442 and 417,374,980 is: 864,450,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,517,442 : 417,374,980 = 417,374,980 : x
  2. Step 2: Convert to fraction form
    201,517,442/417,374,980 = 417,374,980/x
  3. Step 3: Cross multiply
    201,517,442x = 417,374,980 × 417,374,980
  4. Step 4: Simplify right side
    201,517,442x = 174,201,873,930,000,384
  5. Step 5: Solve for x
    x = 174,201,873,930,000,384/201,517,442
  6. Step 6: Final answer
    x = 864,450,601.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.