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Finding the Third Proportional to 169,444,659 and 369,963,078

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Solution

The third proportional to 169,444,659 and 369,963,078 is: 807,772,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,444,659 : 369,963,078 = 369,963,078 : x
  2. Step 2: Convert to fraction form
    169,444,659/369,963,078 = 369,963,078/x
  3. Step 3: Cross multiply
    169,444,659x = 369,963,078 × 369,963,078
  4. Step 4: Simplify right side
    169,444,659x = 136,872,679,083,234,080
  5. Step 5: Solve for x
    x = 136,872,679,083,234,080/169,444,659
  6. Step 6: Final answer
    x = 807,772,165.21

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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.