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Finding the Third Proportional to 98,068,077 and 206,300,074.50

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Solution

The third proportional to 98,068,077 and 206,300,074.50 is: 433,981,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068,077 : 206,300,074.50 = 206,300,074.50 : x
  2. Step 2: Convert to fraction form
    98,068,077/206,300,074.50 = 206,300,074.50/x
  3. Step 3: Cross multiply
    98,068,077x = 206,300,074.50 × 206,300,074.50
  4. Step 4: Simplify right side
    98,068,077x = 42,559,720,738,705,552
  5. Step 5: Solve for x
    x = 42,559,720,738,705,552/98,068,077
  6. Step 6: Final answer
    x = 433,981,393.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.