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Finding the Third Proportional to 180,197,813,400 and 245,398,664,223

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Solution

The third proportional to 180,197,813,400 and 245,398,664,223 is: 334,191,094,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,197,813,400 : 245,398,664,223 = 245,398,664,223 : x
  2. Step 2: Convert to fraction form
    180,197,813,400/245,398,664,223 = 245,398,664,223/x
  3. Step 3: Cross multiply
    180,197,813,400x = 245,398,664,223 × 245,398,664,223
  4. Step 4: Simplify right side
    180,197,813,400x = 60,220,504,402,432,702,283,776
  5. Step 5: Solve for x
    x = 60,220,504,402,432,702,283,776/180,197,813,400
  6. Step 6: Final answer
    x = 334,191,094,032.62

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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.