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Finding the Third Proportional to 120,514,680 and 263,564,208

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Solution

The third proportional to 120,514,680 and 263,564,208 is: 576,411,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,514,680 : 263,564,208 = 263,564,208 : x
  2. Step 2: Convert to fraction form
    120,514,680/263,564,208 = 263,564,208/x
  3. Step 3: Cross multiply
    120,514,680x = 263,564,208 × 263,564,208
  4. Step 4: Simplify right side
    120,514,680x = 69,466,091,738,667,264
  5. Step 5: Solve for x
    x = 69,466,091,738,667,264/120,514,680
  6. Step 6: Final answer
    x = 576,411,867.32

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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.