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Finding the Third Proportional to 102,517,442 and 224,507,928

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Solution

The third proportional to 102,517,442 and 224,507,928 is: 491,660,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517,442 : 224,507,928 = 224,507,928 : x
  2. Step 2: Convert to fraction form
    102,517,442/224,507,928 = 224,507,928/x
  3. Step 3: Cross multiply
    102,517,442x = 224,507,928 × 224,507,928
  4. Step 4: Simplify right side
    102,517,442x = 50,403,809,734,853,184
  5. Step 5: Solve for x
    x = 50,403,809,734,853,184/102,517,442
  6. Step 6: Final answer
    x = 491,660,821.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.