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Finding the Third Proportional to 141,961,164,392 and 220,517,957,470

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Solution

The third proportional to 141,961,164,392 and 220,517,957,470 is: 342,545,581,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,961,164,392 : 220,517,957,470 = 220,517,957,470 : x
  2. Step 2: Convert to fraction form
    141,961,164,392/220,517,957,470 = 220,517,957,470/x
  3. Step 3: Cross multiply
    141,961,164,392x = 220,517,957,470 × 220,517,957,470
  4. Step 4: Simplify right side
    141,961,164,392x = 48,628,169,566,740,725,891,072
  5. Step 5: Solve for x
    x = 48,628,169,566,740,725,891,072/141,961,164,392
  6. Step 6: Final answer
    x = 342,545,581,215.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.