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Finding the Third Proportional to 77,839,002 and 109,490,359.50

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Solution

The third proportional to 77,839,002 and 109,490,359.50 is: 154,011,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839,002 : 109,490,359.50 = 109,490,359.50 : x
  2. Step 2: Convert to fraction form
    77,839,002/109,490,359.50 = 109,490,359.50/x
  3. Step 3: Cross multiply
    77,839,002x = 109,490,359.50 × 109,490,359.50
  4. Step 4: Simplify right side
    77,839,002x = 11,988,138,823,439,240
  5. Step 5: Solve for x
    x = 11,988,138,823,439,240/77,839,002
  6. Step 6: Final answer
    x = 154,011,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.