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Finding the Third Proportional to 49,418,235.50 and 72,308,230.50

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Solution

The third proportional to 49,418,235.50 and 72,308,230.50 is: 105,800,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418,235.50 : 72,308,230.50 = 72,308,230.50 : x
  2. Step 2: Convert to fraction form
    49,418,235.50/72,308,230.50 = 72,308,230.50/x
  3. Step 3: Cross multiply
    49,418,235.50x = 72,308,230.50 × 72,308,230.50
  4. Step 4: Simplify right side
    49,418,235.50x = 5,228,480,198,041,130
  5. Step 5: Solve for x
    x = 5,228,480,198,041,130/49,418,235.50
  6. Step 6: Final answer
    x = 105,800,624.91

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Why These Related Problems?

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