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Finding the Third Proportional to 54,146,802 and 116,925,207

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Solution

The third proportional to 54,146,802 and 116,925,207 is: 252,489,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146,802 : 116,925,207 = 116,925,207 : x
  2. Step 2: Convert to fraction form
    54,146,802/116,925,207 = 116,925,207/x
  3. Step 3: Cross multiply
    54,146,802x = 116,925,207 × 116,925,207
  4. Step 4: Simplify right side
    54,146,802x = 13,671,504,031,992,848
  5. Step 5: Solve for x
    x = 13,671,504,031,992,848/54,146,802
  6. Step 6: Final answer
    x = 252,489,593.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.