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Finding the Third Proportional to 74,824,908 and 160,788,928

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Solution

The third proportional to 74,824,908 and 160,788,928 is: 345,514,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824,908 : 160,788,928 = 160,788,928 : x
  2. Step 2: Convert to fraction form
    74,824,908/160,788,928 = 160,788,928/x
  3. Step 3: Cross multiply
    74,824,908x = 160,788,928 × 160,788,928
  4. Step 4: Simplify right side
    74,824,908x = 25,853,079,367,389,184
  5. Step 5: Solve for x
    x = 25,853,079,367,389,184/74,824,908
  6. Step 6: Final answer
    x = 345,514,348.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.