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Finding the Third Proportional to 241,487,823 and 376,580,650.50

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Solution

The third proportional to 241,487,823 and 376,580,650.50 is: 587,246,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,487,823 : 376,580,650.50 = 376,580,650.50 : x
  2. Step 2: Convert to fraction form
    241,487,823/376,580,650.50 = 376,580,650.50/x
  3. Step 3: Cross multiply
    241,487,823x = 376,580,650.50 × 376,580,650.50
  4. Step 4: Simplify right side
    241,487,823x = 141,812,986,331,003,152
  5. Step 5: Solve for x
    x = 141,812,986,331,003,152/241,487,823
  6. Step 6: Final answer
    x = 587,246,945.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.