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Finding the Third Proportional to 150,445,071 and 327,598,599

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Solution

The third proportional to 150,445,071 and 327,598,599 is: 713,355,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,445,071 : 327,598,599 = 327,598,599 : x
  2. Step 2: Convert to fraction form
    150,445,071/327,598,599 = 327,598,599/x
  3. Step 3: Cross multiply
    150,445,071x = 327,598,599 × 327,598,599
  4. Step 4: Simplify right side
    150,445,071x = 107,320,842,066,762,800
  5. Step 5: Solve for x
    x = 107,320,842,066,762,800/150,445,071
  6. Step 6: Final answer
    x = 713,355,654.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.