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Finding the Third Proportional to 113,109,872 and 172,954,416

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Solution

The third proportional to 113,109,872 and 172,954,416 is: 264,461,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,109,872 : 172,954,416 = 172,954,416 : x
  2. Step 2: Convert to fraction form
    113,109,872/172,954,416 = 172,954,416/x
  3. Step 3: Cross multiply
    113,109,872x = 172,954,416 × 172,954,416
  4. Step 4: Simplify right side
    113,109,872x = 29,913,230,013,901,056
  5. Step 5: Solve for x
    x = 29,913,230,013,901,056/113,109,872
  6. Step 6: Final answer
    x = 264,461,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.