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Finding the Third Proportional to 48,048,494 and 103,655,224

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Solution

The third proportional to 48,048,494 and 103,655,224 is: 223,615,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,494 : 103,655,224 = 103,655,224 : x
  2. Step 2: Convert to fraction form
    48,048,494/103,655,224 = 103,655,224/x
  3. Step 3: Cross multiply
    48,048,494x = 103,655,224 × 103,655,224
  4. Step 4: Simplify right side
    48,048,494x = 10,744,405,462,490,176
  5. Step 5: Solve for x
    x = 10,744,405,462,490,176/48,048,494
  6. Step 6: Final answer
    x = 223,615,863.23

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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.