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Finding the Third Proportional to 48,608,545.50 and 105,562,480.50

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Solution

The third proportional to 48,608,545.50 and 105,562,480.50 is: 229,248,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,608,545.50 : 105,562,480.50 = 105,562,480.50 : x
  2. Step 2: Convert to fraction form
    48,608,545.50/105,562,480.50 = 105,562,480.50/x
  3. Step 3: Cross multiply
    48,608,545.50x = 105,562,480.50 × 105,562,480.50
  4. Step 4: Simplify right side
    48,608,545.50x = 11,143,437,289,312,880
  5. Step 5: Solve for x
    x = 11,143,437,289,312,880/48,608,545.50
  6. Step 6: Final answer
    x = 229,248,523.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.