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Finding the Third Proportional to 80,800,097.06 and 125,368,430.91

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Solution

The third proportional to 80,800,097.06 and 125,368,430.91 is: 194,520,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800,097.06 : 125,368,430.91 = 125,368,430.91 : x
  2. Step 2: Convert to fraction form
    80,800,097.06/125,368,430.91 = 125,368,430.91/x
  3. Step 3: Cross multiply
    80,800,097.06x = 125,368,430.91 × 125,368,430.91
  4. Step 4: Simplify right side
    80,800,097.06x = 15,717,243,467,895,180
  5. Step 5: Solve for x
    x = 15,717,243,467,895,180/80,800,097.06
  6. Step 6: Final answer
    x = 194,520,106.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.