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Finding the Third Proportional to 169,444,656 and 369,963,072

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Solution

The third proportional to 169,444,656 and 369,963,072 is: 807,772,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,444,656 : 369,963,072 = 369,963,072 : x
  2. Step 2: Convert to fraction form
    169,444,656/369,963,072 = 369,963,072/x
  3. Step 3: Cross multiply
    169,444,656x = 369,963,072 × 369,963,072
  4. Step 4: Simplify right side
    169,444,656x = 136,872,674,643,677,184
  5. Step 5: Solve for x
    x = 136,872,674,643,677,184/169,444,656
  6. Step 6: Final answer
    x = 807,772,153.31

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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.