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Finding the Third Proportional to 48,048,498 and 103,655,232

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Solution

The third proportional to 48,048,498 and 103,655,232 is: 223,615,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,498 : 103,655,232 = 103,655,232 : x
  2. Step 2: Convert to fraction form
    48,048,498/103,655,232 = 103,655,232/x
  3. Step 3: Cross multiply
    48,048,498x = 103,655,232 × 103,655,232
  4. Step 4: Simplify right side
    48,048,498x = 10,744,407,120,973,824
  5. Step 5: Solve for x
    x = 10,744,407,120,973,824/48,048,498
  6. Step 6: Final answer
    x = 223,615,879.13

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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.