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Finding the Third Proportional to 66,994,629.19 and 102,462,795.28

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Solution

The third proportional to 66,994,629.19 and 102,462,795.28 is: 156,708,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994,629.19 : 102,462,795.28 = 102,462,795.28 : x
  2. Step 2: Convert to fraction form
    66,994,629.19/102,462,795.28 = 102,462,795.28/x
  3. Step 3: Cross multiply
    66,994,629.19x = 102,462,795.28 × 102,462,795.28
  4. Step 4: Simplify right side
    66,994,629.19x = 10,498,624,416,847,348
  5. Step 5: Solve for x
    x = 10,498,624,416,847,348/66,994,629.19
  6. Step 6: Final answer
    x = 156,708,448.78

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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.