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Finding the Third Proportional to 65,384,040 and 138,738,000

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Solution

The third proportional to 65,384,040 and 138,738,000 is: 294,387,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384,040 : 138,738,000 = 138,738,000 : x
  2. Step 2: Convert to fraction form
    65,384,040/138,738,000 = 138,738,000/x
  3. Step 3: Cross multiply
    65,384,040x = 138,738,000 × 138,738,000
  4. Step 4: Simplify right side
    65,384,040x = 19,248,232,644,000,000
  5. Step 5: Solve for x
    x = 19,248,232,644,000,000/65,384,040
  6. Step 6: Final answer
    x = 294,387,325.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.