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Finding the Third Proportional to 48,031,424 and 103,357,570

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Solution

The third proportional to 48,031,424 and 103,357,570 is: 222,412,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,031,424 : 103,357,570 = 103,357,570 : x
  2. Step 2: Convert to fraction form
    48,031,424/103,357,570 = 103,357,570/x
  3. Step 3: Cross multiply
    48,031,424x = 103,357,570 × 103,357,570
  4. Step 4: Simplify right side
    48,031,424x = 10,682,787,276,304,900
  5. Step 5: Solve for x
    x = 10,682,787,276,304,900/48,031,424
  6. Step 6: Final answer
    x = 222,412,462.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.