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Finding the Third Proportional to 137,200,728,656 and 297,194,686,144

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Solution

The third proportional to 137,200,728,656 and 297,194,686,144 is: 643,762,480,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,728,656 : 297,194,686,144 = 297,194,686,144 : x
  2. Step 2: Convert to fraction form
    137,200,728,656/297,194,686,144 = 297,194,686,144/x
  3. Step 3: Cross multiply
    137,200,728,656x = 297,194,686,144 × 297,194,686,144
  4. Step 4: Simplify right side
    137,200,728,656x = 88,324,681,472,230,670,991,360
  5. Step 5: Solve for x
    x = 88,324,681,472,230,670,991,360/137,200,728,656
  6. Step 6: Final answer
    x = 643,762,480,982.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.