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Finding the Third Proportional to 157,553,867 and 253,145,213

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Solution

The third proportional to 157,553,867 and 253,145,213 is: 406,733,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,553,867 : 253,145,213 = 253,145,213 : x
  2. Step 2: Convert to fraction form
    157,553,867/253,145,213 = 253,145,213/x
  3. Step 3: Cross multiply
    157,553,867x = 253,145,213 × 253,145,213
  4. Step 4: Simplify right side
    157,553,867x = 64,082,498,864,815,368
  5. Step 5: Solve for x
    x = 64,082,498,864,815,368/157,553,867
  6. Step 6: Final answer
    x = 406,733,900.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.