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Finding the Third Proportional to 89,362,160 and 192,838,726

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Solution

The third proportional to 89,362,160 and 192,838,726 is: 416,135,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,362,160 : 192,838,726 = 192,838,726 : x
  2. Step 2: Convert to fraction form
    89,362,160/192,838,726 = 192,838,726/x
  3. Step 3: Cross multiply
    89,362,160x = 192,838,726 × 192,838,726
  4. Step 4: Simplify right side
    89,362,160x = 37,186,774,245,303,072
  5. Step 5: Solve for x
    x = 37,186,774,245,303,072/89,362,160
  6. Step 6: Final answer
    x = 416,135,579.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.