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Finding the Third Proportional to 128,532,744 and 195,810,804

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Solution

The third proportional to 128,532,744 and 195,810,804 is: 298,304,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532,744 : 195,810,804 = 195,810,804 : x
  2. Step 2: Convert to fraction form
    128,532,744/195,810,804 = 195,810,804/x
  3. Step 3: Cross multiply
    128,532,744x = 195,810,804 × 195,810,804
  4. Step 4: Simplify right side
    128,532,744x = 38,341,870,963,126,416
  5. Step 5: Solve for x
    x = 38,341,870,963,126,416/128,532,744
  6. Step 6: Final answer
    x = 298,304,305.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.