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Finding the Third Proportional to 159,536,477.25 and 347,025,406.50

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Solution

The third proportional to 159,536,477.25 and 347,025,406.50 is: 754,853,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,477.25 : 347,025,406.50 = 347,025,406.50 : x
  2. Step 2: Convert to fraction form
    159,536,477.25/347,025,406.50 = 347,025,406.50/x
  3. Step 3: Cross multiply
    159,536,477.25x = 347,025,406.50 × 347,025,406.50
  4. Step 4: Simplify right side
    159,536,477.25x = 120,426,632,756,490,240
  5. Step 5: Solve for x
    x = 120,426,632,756,490,240/159,536,477.25
  6. Step 6: Final answer
    x = 754,853,277.65

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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.