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Finding the Third Proportional to 135,228,980 and 202,047,420

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Solution

The third proportional to 135,228,980 and 202,047,420 is: 301,881,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,228,980 : 202,047,420 = 202,047,420 : x
  2. Step 2: Convert to fraction form
    135,228,980/202,047,420 = 202,047,420/x
  3. Step 3: Cross multiply
    135,228,980x = 202,047,420 × 202,047,420
  4. Step 4: Simplify right side
    135,228,980x = 40,823,159,928,656,400
  5. Step 5: Solve for x
    x = 40,823,159,928,656,400/135,228,980
  6. Step 6: Final answer
    x = 301,881,741.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.