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Finding the Third Proportional to 146,507,190 and 318,488,556

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Solution

The third proportional to 146,507,190 and 318,488,556 is: 692,354,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,507,190 : 318,488,556 = 318,488,556 : x
  2. Step 2: Convert to fraction form
    146,507,190/318,488,556 = 318,488,556/x
  3. Step 3: Cross multiply
    146,507,190x = 318,488,556 × 318,488,556
  4. Step 4: Simplify right side
    146,507,190x = 101,434,960,302,965,136
  5. Step 5: Solve for x
    x = 101,434,960,302,965,136/146,507,190
  6. Step 6: Final answer
    x = 692,354,827.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.