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Finding the Third Proportional to 49,563,981 and 107,365,432.50

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Solution

The third proportional to 49,563,981 and 107,365,432.50 is: 232,574,863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,981 : 107,365,432.50 = 107,365,432.50 : x
  2. Step 2: Convert to fraction form
    49,563,981/107,365,432.50 = 107,365,432.50/x
  3. Step 3: Cross multiply
    49,563,981x = 107,365,432.50 × 107,365,432.50
  4. Step 4: Simplify right side
    49,563,981x = 11,527,336,095,912,056
  5. Step 5: Solve for x
    x = 11,527,336,095,912,056/49,563,981
  6. Step 6: Final answer
    x = 232,574,863.10

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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.