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Finding the Third Proportional to 69,445,750 and 102,250,004

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Solution

The third proportional to 69,445,750 and 102,250,004 is: 150,550,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,445,750 : 102,250,004 = 102,250,004 : x
  2. Step 2: Convert to fraction form
    69,445,750/102,250,004 = 102,250,004/x
  3. Step 3: Cross multiply
    69,445,750x = 102,250,004 × 102,250,004
  4. Step 4: Simplify right side
    69,445,750x = 10,455,063,318,000,016
  5. Step 5: Solve for x
    x = 10,455,063,318,000,016/69,445,750
  6. Step 6: Final answer
    x = 150,550,081.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.