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Finding the Third Proportional to 40,908,964.50 and 90,898,591.50

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Solution

The third proportional to 40,908,964.50 and 90,898,591.50 is: 201,974,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,908,964.50 : 90,898,591.50 = 90,898,591.50 : x
  2. Step 2: Convert to fraction form
    40,908,964.50/90,898,591.50 = 90,898,591.50/x
  3. Step 3: Cross multiply
    40,908,964.50x = 90,898,591.50 × 90,898,591.50
  4. Step 4: Simplify right side
    40,908,964.50x = 8,262,553,936,683,872
  5. Step 5: Solve for x
    x = 8,262,553,936,683,872/40,908,964.50
  6. Step 6: Final answer
    x = 201,974,164.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.