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Finding the Third Proportional to 133,648,746 and 212,663,511

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Solution

The third proportional to 133,648,746 and 212,663,511 is: 338,392,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648,746 : 212,663,511 = 212,663,511 : x
  2. Step 2: Convert to fraction form
    133,648,746/212,663,511 = 212,663,511/x
  3. Step 3: Cross multiply
    133,648,746x = 212,663,511 × 212,663,511
  4. Step 4: Simplify right side
    133,648,746x = 45,225,768,910,847,120
  5. Step 5: Solve for x
    x = 45,225,768,910,847,120/133,648,746
  6. Step 6: Final answer
    x = 338,392,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.