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Finding the Third Proportional to 238,442,723,040 and 483,891,964,200

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Solution

The third proportional to 238,442,723,040 and 483,891,964,200 is: 982,002,847,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,442,723,040 : 483,891,964,200 = 483,891,964,200 : x
  2. Step 2: Convert to fraction form
    238,442,723,040/483,891,964,200 = 483,891,964,200/x
  3. Step 3: Cross multiply
    238,442,723,040x = 483,891,964,200 × 483,891,964,200
  4. Step 4: Simplify right side
    238,442,723,040x = 234,151,433,017,334,085,713,920
  5. Step 5: Solve for x
    x = 234,151,433,017,334,085,713,920/238,442,723,040
  6. Step 6: Final answer
    x = 982,002,847,610.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.