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Finding the Third Proportional to 73,484,029.50 and 120,999,205.50

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Solution

The third proportional to 73,484,029.50 and 120,999,205.50 is: 199,237,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,484,029.50 : 120,999,205.50 = 120,999,205.50 : x
  2. Step 2: Convert to fraction form
    73,484,029.50/120,999,205.50 = 120,999,205.50/x
  3. Step 3: Cross multiply
    73,484,029.50x = 120,999,205.50 × 120,999,205.50
  4. Step 4: Simplify right side
    73,484,029.50x = 14,640,807,731,631,230
  5. Step 5: Solve for x
    x = 14,640,807,731,631,230/73,484,029.50
  6. Step 6: Final answer
    x = 199,237,954.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.