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Finding the Third Proportional to 100,488,803 and 217,671,882

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Solution

The third proportional to 100,488,803 and 217,671,882 is: 471,505,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,488,803 : 217,671,882 = 217,671,882 : x
  2. Step 2: Convert to fraction form
    100,488,803/217,671,882 = 217,671,882/x
  3. Step 3: Cross multiply
    100,488,803x = 217,671,882 × 217,671,882
  4. Step 4: Simplify right side
    100,488,803x = 47,381,048,213,421,920
  5. Step 5: Solve for x
    x = 47,381,048,213,421,920/100,488,803
  6. Step 6: Final answer
    x = 471,505,747.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.