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Finding the Third Proportional to 145,460,506.22 and 323,206,049.39

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Solution

The third proportional to 145,460,506.22 and 323,206,049.39 is: 718,147,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460,506.22 : 323,206,049.39 = 323,206,049.39 : x
  2. Step 2: Convert to fraction form
    145,460,506.22/323,206,049.39 = 323,206,049.39/x
  3. Step 3: Cross multiply
    145,460,506.22x = 323,206,049.39 × 323,206,049.39
  4. Step 4: Simplify right side
    145,460,506.22x = 104,462,150,362,691,888
  5. Step 5: Solve for x
    x = 104,462,150,362,691,888/145,460,506.22
  6. Step 6: Final answer
    x = 718,147,853.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.