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Finding the Third Proportional to 47,997,462 and 103,656,259

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Solution

The third proportional to 47,997,462 and 103,656,259 is: 223,858,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,462 : 103,656,259 = 103,656,259 : x
  2. Step 2: Convert to fraction form
    47,997,462/103,656,259 = 103,656,259/x
  3. Step 3: Cross multiply
    47,997,462x = 103,656,259 × 103,656,259
  4. Step 4: Simplify right side
    47,997,462x = 10,744,620,029,875,080
  5. Step 5: Solve for x
    x = 10,744,620,029,875,080/47,997,462
  6. Step 6: Final answer
    x = 223,858,087.12

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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.