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Finding the Third Proportional to 302,025,129 and 466,389,892.50

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Solution

The third proportional to 302,025,129 and 466,389,892.50 is: 720,203,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,025,129 : 466,389,892.50 = 466,389,892.50 : x
  2. Step 2: Convert to fraction form
    302,025,129/466,389,892.50 = 466,389,892.50/x
  3. Step 3: Cross multiply
    302,025,129x = 466,389,892.50 × 466,389,892.50
  4. Step 4: Simplify right side
    302,025,129x = 217,519,531,826,161,568
  5. Step 5: Solve for x
    x = 217,519,531,826,161,568/302,025,129
  6. Step 6: Final answer
    x = 720,203,423.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.