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Finding the Third Proportional to 141,520,368 and 213,277,824

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Solution

The third proportional to 141,520,368 and 213,277,824 is: 321,419,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,520,368 : 213,277,824 = 213,277,824 : x
  2. Step 2: Convert to fraction form
    141,520,368/213,277,824 = 213,277,824/x
  3. Step 3: Cross multiply
    141,520,368x = 213,277,824 × 213,277,824
  4. Step 4: Simplify right side
    141,520,368x = 45,487,430,210,174,976
  5. Step 5: Solve for x
    x = 45,487,430,210,174,976/141,520,368
  6. Step 6: Final answer
    x = 321,419,671.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.