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Finding the Third Proportional to 169,438,408 and 369,949,928

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Solution

The third proportional to 169,438,408 and 369,949,928 is: 807,744,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,438,408 : 369,949,928 = 369,949,928 : x
  2. Step 2: Convert to fraction form
    169,438,408/369,949,928 = 369,949,928/x
  3. Step 3: Cross multiply
    169,438,408x = 369,949,928 × 369,949,928
  4. Step 4: Simplify right side
    169,438,408x = 136,862,949,227,205,184
  5. Step 5: Solve for x
    x = 136,862,949,227,205,184/169,438,408
  6. Step 6: Final answer
    x = 807,744,541.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.