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Finding the Third Proportional to 100,758,722 and 208,687,492

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Solution

The third proportional to 100,758,722 and 208,687,492 is: 432,225,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758,722 : 208,687,492 = 208,687,492 : x
  2. Step 2: Convert to fraction form
    100,758,722/208,687,492 = 208,687,492/x
  3. Step 3: Cross multiply
    100,758,722x = 208,687,492 × 208,687,492
  4. Step 4: Simplify right side
    100,758,722x = 43,550,469,317,250,064
  5. Step 5: Solve for x
    x = 43,550,469,317,250,064/100,758,722
  6. Step 6: Final answer
    x = 432,225,304.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.