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Finding the Third Proportional to 146,502,962 and 318,488,850

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Solution

The third proportional to 146,502,962 and 318,488,850 is: 692,376,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502,962 : 318,488,850 = 318,488,850 : x
  2. Step 2: Convert to fraction form
    146,502,962/318,488,850 = 318,488,850/x
  3. Step 3: Cross multiply
    146,502,962x = 318,488,850 × 318,488,850
  4. Step 4: Simplify right side
    146,502,962x = 101,435,147,574,322,496
  5. Step 5: Solve for x
    x = 101,435,147,574,322,496/146,502,962
  6. Step 6: Final answer
    x = 692,376,087.07

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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.