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Finding the Third Proportional to 57,385,746 and 122,958,312

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Solution

The third proportional to 57,385,746 and 122,958,312 is: 263,458,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385,746 : 122,958,312 = 122,958,312 : x
  2. Step 2: Convert to fraction form
    57,385,746/122,958,312 = 122,958,312/x
  3. Step 3: Cross multiply
    57,385,746x = 122,958,312 × 122,958,312
  4. Step 4: Simplify right side
    57,385,746x = 15,118,746,489,889,344
  5. Step 5: Solve for x
    x = 15,118,746,489,889,344/57,385,746
  6. Step 6: Final answer
    x = 263,458,219.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.