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Finding the Third Proportional to 108,264,016.13 and 222,267,425.63

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Solution

The third proportional to 108,264,016.13 and 222,267,425.63 is: 456,317,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264,016.13 : 222,267,425.63 = 222,267,425.63 : x
  2. Step 2: Convert to fraction form
    108,264,016.13/222,267,425.63 = 222,267,425.63/x
  3. Step 3: Cross multiply
    108,264,016.13x = 222,267,425.63 × 222,267,425.63
  4. Step 4: Simplify right side
    108,264,016.13x = 49,402,808,493,964,904
  5. Step 5: Solve for x
    x = 49,402,808,493,964,904/108,264,016.13
  6. Step 6: Final answer
    x = 456,317,900.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.