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Finding the Third Proportional to 149,133,038 and 324,080,409

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Solution

The third proportional to 149,133,038 and 324,080,409 is: 704,257,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,038 : 324,080,409 = 324,080,409 : x
  2. Step 2: Convert to fraction form
    149,133,038/324,080,409 = 324,080,409/x
  3. Step 3: Cross multiply
    149,133,038x = 324,080,409 × 324,080,409
  4. Step 4: Simplify right side
    149,133,038x = 105,028,111,497,607,280
  5. Step 5: Solve for x
    x = 105,028,111,497,607,280/149,133,038
  6. Step 6: Final answer
    x = 704,257,841.90

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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.