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Finding the Third Proportional to 48,048,420 and 103,655,112

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Solution

The third proportional to 48,048,420 and 103,655,112 is: 223,615,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,420 : 103,655,112 = 103,655,112 : x
  2. Step 2: Convert to fraction form
    48,048,420/103,655,112 = 103,655,112/x
  3. Step 3: Cross multiply
    48,048,420x = 103,655,112 × 103,655,112
  4. Step 4: Simplify right side
    48,048,420x = 10,744,382,243,732,544
  5. Step 5: Solve for x
    x = 10,744,382,243,732,544/48,048,420
  6. Step 6: Final answer
    x = 223,615,724.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.