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Finding the Third Proportional to 60,835,201 and 135,271,886

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Solution

The third proportional to 60,835,201 and 135,271,886 is: 300,787,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,835,201 : 135,271,886 = 135,271,886 : x
  2. Step 2: Convert to fraction form
    60,835,201/135,271,886 = 135,271,886/x
  3. Step 3: Cross multiply
    60,835,201x = 135,271,886 × 135,271,886
  4. Step 4: Simplify right side
    60,835,201x = 18,298,483,141,996,996
  5. Step 5: Solve for x
    x = 18,298,483,141,996,996/60,835,201
  6. Step 6: Final answer
    x = 300,787,748.56

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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.