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Finding the Third Proportional to 100,626,429 and 212,854,948

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Solution

The third proportional to 100,626,429 and 212,854,948 is: 450,251,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,626,429 : 212,854,948 = 212,854,948 : x
  2. Step 2: Convert to fraction form
    100,626,429/212,854,948 = 212,854,948/x
  3. Step 3: Cross multiply
    100,626,429x = 212,854,948 × 212,854,948
  4. Step 4: Simplify right side
    100,626,429x = 45,307,228,888,082,704
  5. Step 5: Solve for x
    x = 45,307,228,888,082,704/100,626,429
  6. Step 6: Final answer
    x = 450,251,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.