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Finding the Third Proportional to 222,404,171.63 and 463,216,352.63

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Solution

The third proportional to 222,404,171.63 and 463,216,352.63 is: 964,772,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,404,171.63 : 463,216,352.63 = 463,216,352.63 : x
  2. Step 2: Convert to fraction form
    222,404,171.63/463,216,352.63 = 463,216,352.63/x
  3. Step 3: Cross multiply
    222,404,171.63x = 463,216,352.63 × 463,216,352.63
  4. Step 4: Simplify right side
    222,404,171.63x = 214,569,389,339,208,352
  5. Step 5: Solve for x
    x = 214,569,389,339,208,352/222,404,171.63
  6. Step 6: Final answer
    x = 964,772,323.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.