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Finding the Third Proportional to 47,749,392 and 102,305,808

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Solution

The third proportional to 47,749,392 and 102,305,808 is: 219,196,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,392 : 102,305,808 = 102,305,808 : x
  2. Step 2: Convert to fraction form
    47,749,392/102,305,808 = 102,305,808/x
  3. Step 3: Cross multiply
    47,749,392x = 102,305,808 × 102,305,808
  4. Step 4: Simplify right side
    47,749,392x = 10,466,478,350,532,864
  5. Step 5: Solve for x
    x = 10,466,478,350,532,864/47,749,392
  6. Step 6: Final answer
    x = 219,196,054.91

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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.