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Finding the Third Proportional to 75,769,797.94 and 110,820,344.06

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Solution

The third proportional to 75,769,797.94 and 110,820,344.06 is: 162,085,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769,797.94 : 110,820,344.06 = 110,820,344.06 : x
  2. Step 2: Convert to fraction form
    75,769,797.94/110,820,344.06 = 110,820,344.06/x
  3. Step 3: Cross multiply
    75,769,797.94x = 110,820,344.06 × 110,820,344.06
  4. Step 4: Simplify right side
    75,769,797.94x = 12,281,148,658,130,880
  5. Step 5: Solve for x
    x = 12,281,148,658,130,880/75,769,797.94
  6. Step 6: Final answer
    x = 162,085,012.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.