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Finding the Third Proportional to 51,040,237.50 and 112,000,711.50

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Solution

The third proportional to 51,040,237.50 and 112,000,711.50 is: 245,770,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040,237.50 : 112,000,711.50 = 112,000,711.50 : x
  2. Step 2: Convert to fraction form
    51,040,237.50/112,000,711.50 = 112,000,711.50/x
  3. Step 3: Cross multiply
    51,040,237.50x = 112,000,711.50 × 112,000,711.50
  4. Step 4: Simplify right side
    51,040,237.50x = 12,544,159,376,506,232
  5. Step 5: Solve for x
    x = 12,544,159,376,506,232/51,040,237.50
  6. Step 6: Final answer
    x = 245,770,004.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.