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Finding the Third Proportional to 218,151,724 and 347,290,326

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Solution

The third proportional to 218,151,724 and 347,290,326 is: 552,874,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,151,724 : 347,290,326 = 347,290,326 : x
  2. Step 2: Convert to fraction form
    218,151,724/347,290,326 = 347,290,326/x
  3. Step 3: Cross multiply
    218,151,724x = 347,290,326 × 347,290,326
  4. Step 4: Simplify right side
    218,151,724x = 120,610,570,533,186,272
  5. Step 5: Solve for x
    x = 120,610,570,533,186,272/218,151,724
  6. Step 6: Final answer
    x = 552,874,707.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.