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Finding the Third Proportional to 109,630,602 and 243,772,876

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Solution

The third proportional to 109,630,602 and 243,772,876 is: 542,049,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630,602 : 243,772,876 = 243,772,876 : x
  2. Step 2: Convert to fraction form
    109,630,602/243,772,876 = 243,772,876/x
  3. Step 3: Cross multiply
    109,630,602x = 243,772,876 × 243,772,876
  4. Step 4: Simplify right side
    109,630,602x = 59,425,215,073,311,376
  5. Step 5: Solve for x
    x = 59,425,215,073,311,376/109,630,602
  6. Step 6: Final answer
    x = 542,049,518.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.