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Finding the Third Proportional to 120,993,111 and 185,975,122.50

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Solution

The third proportional to 120,993,111 and 185,975,122.50 is: 285,857,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993,111 : 185,975,122.50 = 185,975,122.50 : x
  2. Step 2: Convert to fraction form
    120,993,111/185,975,122.50 = 185,975,122.50/x
  3. Step 3: Cross multiply
    120,993,111x = 185,975,122.50 × 185,975,122.50
  4. Step 4: Simplify right side
    120,993,111x = 34,586,746,188,890,008
  5. Step 5: Solve for x
    x = 34,586,746,188,890,008/120,993,111
  6. Step 6: Final answer
    x = 285,857,152.55

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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.