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Finding the Third Proportional to 120,985,104 and 265,484,832

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Solution

The third proportional to 120,985,104 and 265,484,832 is: 582,569,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,985,104 : 265,484,832 = 265,484,832 : x
  2. Step 2: Convert to fraction form
    120,985,104/265,484,832 = 265,484,832/x
  3. Step 3: Cross multiply
    120,985,104x = 265,484,832 × 265,484,832
  4. Step 4: Simplify right side
    120,985,104x = 70,482,196,022,068,224
  5. Step 5: Solve for x
    x = 70,482,196,022,068,224/120,985,104
  6. Step 6: Final answer
    x = 582,569,206.39

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