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Finding the Third Proportional to 120,993,394 and 185,975,511

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Solution

The third proportional to 120,993,394 and 185,975,511 is: 285,857,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993,394 : 185,975,511 = 185,975,511 : x
  2. Step 2: Convert to fraction form
    120,993,394/185,975,511 = 185,975,511/x
  3. Step 3: Cross multiply
    120,993,394x = 185,975,511 × 185,975,511
  4. Step 4: Simplify right side
    120,993,394x = 34,586,890,691,711,120
  5. Step 5: Solve for x
    x = 34,586,890,691,711,120/120,993,394
  6. Step 6: Final answer
    x = 285,857,678.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.