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Finding the Third Proportional to 48,429,100 and 104,205,656

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Solution

The third proportional to 48,429,100 and 104,205,656 is: 224,220,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,429,100 : 104,205,656 = 104,205,656 : x
  2. Step 2: Convert to fraction form
    48,429,100/104,205,656 = 104,205,656/x
  3. Step 3: Cross multiply
    48,429,100x = 104,205,656 × 104,205,656
  4. Step 4: Simplify right side
    48,429,100x = 10,858,818,742,390,336
  5. Step 5: Solve for x
    x = 10,858,818,742,390,336/48,429,100
  6. Step 6: Final answer
    x = 224,220,948.61

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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.