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Finding the Third Proportional to 120,548,224 and 264,027,904

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Solution

The third proportional to 120,548,224 and 264,027,904 is: 578,280,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,548,224 : 264,027,904 = 264,027,904 : x
  2. Step 2: Convert to fraction form
    120,548,224/264,027,904 = 264,027,904/x
  3. Step 3: Cross multiply
    120,548,224x = 264,027,904 × 264,027,904
  4. Step 4: Simplify right side
    120,548,224x = 69,710,734,090,633,216
  5. Step 5: Solve for x
    x = 69,710,734,090,633,216/120,548,224
  6. Step 6: Final answer
    x = 578,280,888.57

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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.