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Finding the Third Proportional to 115,760,148 and 241,046,865

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Solution

The third proportional to 115,760,148 and 241,046,865 is: 501,930,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,760,148 : 241,046,865 = 241,046,865 : x
  2. Step 2: Convert to fraction form
    115,760,148/241,046,865 = 241,046,865/x
  3. Step 3: Cross multiply
    115,760,148x = 241,046,865 × 241,046,865
  4. Step 4: Simplify right side
    115,760,148x = 58,103,591,126,328,224
  5. Step 5: Solve for x
    x = 58,103,591,126,328,224/115,760,148
  6. Step 6: Final answer
    x = 501,930,864.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.