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Finding the Third Proportional to 140,187,731 and 306,802,846

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Solution

The third proportional to 140,187,731 and 306,802,846 is: 671,442,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187,731 : 306,802,846 = 306,802,846 : x
  2. Step 2: Convert to fraction form
    140,187,731/306,802,846 = 306,802,846/x
  3. Step 3: Cross multiply
    140,187,731x = 306,802,846 × 306,802,846
  4. Step 4: Simplify right side
    140,187,731x = 94,127,986,313,699,712
  5. Step 5: Solve for x
    x = 94,127,986,313,699,712/140,187,731
  6. Step 6: Final answer
    x = 671,442,398.29

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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.