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Finding the Third Proportional to 218,260,059 and 329,656,095

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Solution

The third proportional to 218,260,059 and 329,656,095 is: 497,906,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,260,059 : 329,656,095 = 329,656,095 : x
  2. Step 2: Convert to fraction form
    218,260,059/329,656,095 = 329,656,095/x
  3. Step 3: Cross multiply
    218,260,059x = 329,656,095 × 329,656,095
  4. Step 4: Simplify right side
    218,260,059x = 108,673,140,970,649,024
  5. Step 5: Solve for x
    x = 108,673,140,970,649,024/218,260,059
  6. Step 6: Final answer
    x = 497,906,678.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.