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Finding the Third Proportional to 45,545,976 and 99,178,384.50

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Solution

The third proportional to 45,545,976 and 99,178,384.50 is: 215,965,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,545,976 : 99,178,384.50 = 99,178,384.50 : x
  2. Step 2: Convert to fraction form
    45,545,976/99,178,384.50 = 99,178,384.50/x
  3. Step 3: Cross multiply
    45,545,976x = 99,178,384.50 × 99,178,384.50
  4. Step 4: Simplify right side
    45,545,976x = 9,836,351,952,029,840
  5. Step 5: Solve for x
    x = 9,836,351,952,029,840/45,545,976
  6. Step 6: Final answer
    x = 215,965,334.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.