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Finding the Third Proportional to 224,511,760.13 and 335,852,178.19

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Solution

The third proportional to 224,511,760.13 and 335,852,178.19 is: 502,408,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,511,760.13 : 335,852,178.19 = 335,852,178.19 : x
  2. Step 2: Convert to fraction form
    224,511,760.13/335,852,178.19 = 335,852,178.19/x
  3. Step 3: Cross multiply
    224,511,760.13x = 335,852,178.19 × 335,852,178.19
  4. Step 4: Simplify right side
    224,511,760.13x = 112,796,685,593,288,256
  5. Step 5: Solve for x
    x = 112,796,685,593,288,256/224,511,760.13
  6. Step 6: Final answer
    x = 502,408,807.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.