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Finding the Third Proportional to 76,470,223.50 and 116,899,734.94

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Solution

The third proportional to 76,470,223.50 and 116,899,734.94 is: 178,704,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470,223.50 : 116,899,734.94 = 116,899,734.94 : x
  2. Step 2: Convert to fraction form
    76,470,223.50/116,899,734.94 = 116,899,734.94/x
  3. Step 3: Cross multiply
    76,470,223.50x = 116,899,734.94 × 116,899,734.94
  4. Step 4: Simplify right side
    76,470,223.50x = 13,665,548,028,457,758
  5. Step 5: Solve for x
    x = 13,665,548,028,457,758/76,470,223.50
  6. Step 6: Final answer
    x = 178,704,172.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.