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Finding the Third Proportional to 55,583,932.50 and 120,736,438.50

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Solution

The third proportional to 55,583,932.50 and 120,736,438.50 is: 262,257,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,583,932.50 : 120,736,438.50 = 120,736,438.50 : x
  2. Step 2: Convert to fraction form
    55,583,932.50/120,736,438.50 = 120,736,438.50/x
  3. Step 3: Cross multiply
    55,583,932.50x = 120,736,438.50 × 120,736,438.50
  4. Step 4: Simplify right side
    55,583,932.50x = 14,577,287,581,664,282
  5. Step 5: Solve for x
    x = 14,577,287,581,664,282/55,583,932.50
  6. Step 6: Final answer
    x = 262,257,219.42

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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.