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Finding the Third Proportional to 120,209,846.63 and 190,501,478.44

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Solution

The third proportional to 120,209,846.63 and 190,501,478.44 is: 301,895,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209,846.63 : 190,501,478.44 = 190,501,478.44 : x
  2. Step 2: Convert to fraction form
    120,209,846.63/190,501,478.44 = 190,501,478.44/x
  3. Step 3: Cross multiply
    120,209,846.63x = 190,501,478.44 × 190,501,478.44
  4. Step 4: Simplify right side
    120,209,846.63x = 36,290,813,286,873,280
  5. Step 5: Solve for x
    x = 36,290,813,286,873,280/120,209,846.63
  6. Step 6: Final answer
    x = 301,895,512.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.