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Finding the Third Proportional to 190,945,920 and 282,838,680

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Solution

The third proportional to 190,945,920 and 282,838,680 is: 418,954,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,945,920 : 282,838,680 = 282,838,680 : x
  2. Step 2: Convert to fraction form
    190,945,920/282,838,680 = 282,838,680/x
  3. Step 3: Cross multiply
    190,945,920x = 282,838,680 × 282,838,680
  4. Step 4: Simplify right side
    190,945,920x = 79,997,718,904,142,400
  5. Step 5: Solve for x
    x = 79,997,718,904,142,400/190,945,920
  6. Step 6: Final answer
    x = 418,954,848.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.