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Finding the Third Proportional to 49,750,488 and 107,650,102.50

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Solution

The third proportional to 49,750,488 and 107,650,102.50 is: 232,933,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,750,488 : 107,650,102.50 = 107,650,102.50 : x
  2. Step 2: Convert to fraction form
    49,750,488/107,650,102.50 = 107,650,102.50/x
  3. Step 3: Cross multiply
    49,750,488x = 107,650,102.50 × 107,650,102.50
  4. Step 4: Simplify right side
    49,750,488x = 11,588,544,568,260,506
  5. Step 5: Solve for x
    x = 11,588,544,568,260,506/49,750,488
  6. Step 6: Final answer
    x = 232,933,284.36

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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.