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Finding the Third Proportional to 180,197,813,404 and 245,398,664,229

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Solution

The third proportional to 180,197,813,404 and 245,398,664,229 is: 334,191,094,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,197,813,404 : 245,398,664,229 = 245,398,664,229 : x
  2. Step 2: Convert to fraction form
    180,197,813,404/245,398,664,229 = 245,398,664,229/x
  3. Step 3: Cross multiply
    180,197,813,404x = 245,398,664,229 × 245,398,664,229
  4. Step 4: Simplify right side
    180,197,813,404x = 60,220,504,405,377,481,179,136
  5. Step 5: Solve for x
    x = 60,220,504,405,377,481,179,136/180,197,813,404
  6. Step 6: Final answer
    x = 334,191,094,041.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.