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Finding the Third Proportional to 149,133,064 and 324,080,461

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Solution

The third proportional to 149,133,064 and 324,080,461 is: 704,257,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,064 : 324,080,461 = 324,080,461 : x
  2. Step 2: Convert to fraction form
    149,133,064/324,080,461 = 324,080,461/x
  3. Step 3: Cross multiply
    149,133,064x = 324,080,461 × 324,080,461
  4. Step 4: Simplify right side
    149,133,064x = 105,028,145,201,972,528
  5. Step 5: Solve for x
    x = 105,028,145,201,972,528/149,133,064
  6. Step 6: Final answer
    x = 704,257,945.12

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