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Finding the Third Proportional to 144,288,540 and 320,774,094

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Solution

The third proportional to 144,288,540 and 320,774,094 is: 713,126,762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,288,540 : 320,774,094 = 320,774,094 : x
  2. Step 2: Convert to fraction form
    144,288,540/320,774,094 = 320,774,094/x
  3. Step 3: Cross multiply
    144,288,540x = 320,774,094 × 320,774,094
  4. Step 4: Simplify right side
    144,288,540x = 102,896,019,381,520,832
  5. Step 5: Solve for x
    x = 102,896,019,381,520,832/144,288,540
  6. Step 6: Final answer
    x = 713,126,762.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.