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Finding the Third Proportional to 47,759,502 and 102,330,166

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Solution

The third proportional to 47,759,502 and 102,330,166 is: 219,254,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,502 : 102,330,166 = 102,330,166 : x
  2. Step 2: Convert to fraction form
    47,759,502/102,330,166 = 102,330,166/x
  3. Step 3: Cross multiply
    47,759,502x = 102,330,166 × 102,330,166
  4. Step 4: Simplify right side
    47,759,502x = 10,471,462,873,587,556
  5. Step 5: Solve for x
    x = 10,471,462,873,587,556/47,759,502
  6. Step 6: Final answer
    x = 219,254,021.40

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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.