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Finding the Third Proportional to 49,750,597 and 107,650,321

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Solution

The third proportional to 49,750,597 and 107,650,321 is: 232,933,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,750,597 : 107,650,321 = 107,650,321 : x
  2. Step 2: Convert to fraction form
    49,750,597/107,650,321 = 107,650,321/x
  3. Step 3: Cross multiply
    49,750,597x = 107,650,321 × 107,650,321
  4. Step 4: Simplify right side
    49,750,597x = 11,588,591,611,403,040
  5. Step 5: Solve for x
    x = 11,588,591,611,403,040/49,750,597
  6. Step 6: Final answer
    x = 232,933,719.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.