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Finding the Third Proportional to 124,183,946 and 261,235,876

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Solution

The third proportional to 124,183,946 and 261,235,876 is: 549,541,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,183,946 : 261,235,876 = 261,235,876 : x
  2. Step 2: Convert to fraction form
    124,183,946/261,235,876 = 261,235,876/x
  3. Step 3: Cross multiply
    124,183,946x = 261,235,876 × 261,235,876
  4. Step 4: Simplify right side
    124,183,946x = 68,244,182,909,487,376
  5. Step 5: Solve for x
    x = 68,244,182,909,487,376/124,183,946
  6. Step 6: Final answer
    x = 549,541,105.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.