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Finding the Third Proportional to 129,925,512 and 270,598,146

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Solution

The third proportional to 129,925,512 and 270,598,146 is: 563,579,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,925,512 : 270,598,146 = 270,598,146 : x
  2. Step 2: Convert to fraction form
    129,925,512/270,598,146 = 270,598,146/x
  3. Step 3: Cross multiply
    129,925,512x = 270,598,146 × 270,598,146
  4. Step 4: Simplify right side
    129,925,512x = 73,223,356,618,637,312
  5. Step 5: Solve for x
    x = 73,223,356,618,637,312/129,925,512
  6. Step 6: Final answer
    x = 563,579,511.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.