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Finding the Third Proportional to 65,140,238 and 99,238,600

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Solution

The third proportional to 65,140,238 and 99,238,600 is: 151,186,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140,238 : 99,238,600 = 99,238,600 : x
  2. Step 2: Convert to fraction form
    65,140,238/99,238,600 = 99,238,600/x
  3. Step 3: Cross multiply
    65,140,238x = 99,238,600 × 99,238,600
  4. Step 4: Simplify right side
    65,140,238x = 9,848,299,729,960,000
  5. Step 5: Solve for x
    x = 9,848,299,729,960,000/65,140,238
  6. Step 6: Final answer
    x = 151,186,118.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.