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Finding the Third Proportional to 141,825,270 and 310,554,738

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Solution

The third proportional to 141,825,270 and 310,554,738 is: 680,021,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,825,270 : 310,554,738 = 310,554,738 : x
  2. Step 2: Convert to fraction form
    141,825,270/310,554,738 = 310,554,738/x
  3. Step 3: Cross multiply
    141,825,270x = 310,554,738 × 310,554,738
  4. Step 4: Simplify right side
    141,825,270x = 96,444,245,294,248,640
  5. Step 5: Solve for x
    x = 96,444,245,294,248,640/141,825,270
  6. Step 6: Final answer
    x = 680,021,587.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.