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Finding the Third Proportional to 103,084,409 and 144,194,920

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Solution

The third proportional to 103,084,409 and 144,194,920 is: 201,700,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084,409 : 144,194,920 = 144,194,920 : x
  2. Step 2: Convert to fraction form
    103,084,409/144,194,920 = 144,194,920/x
  3. Step 3: Cross multiply
    103,084,409x = 144,194,920 × 144,194,920
  4. Step 4: Simplify right side
    103,084,409x = 20,792,174,953,806,400
  5. Step 5: Solve for x
    x = 20,792,174,953,806,400/103,084,409
  6. Step 6: Final answer
    x = 201,700,481.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.