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Finding the Third Proportional to 76,566,071 and 114,905,105

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Solution

The third proportional to 76,566,071 and 114,905,105 is: 172,441,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,071 : 114,905,105 = 114,905,105 : x
  2. Step 2: Convert to fraction form
    76,566,071/114,905,105 = 114,905,105/x
  3. Step 3: Cross multiply
    76,566,071x = 114,905,105 × 114,905,105
  4. Step 4: Simplify right side
    76,566,071x = 13,203,183,155,061,024
  5. Step 5: Solve for x
    x = 13,203,183,155,061,024/76,566,071
  6. Step 6: Final answer
    x = 172,441,696.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.