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Finding the Third Proportional to 302,025,101 and 466,389,848

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Solution

The third proportional to 302,025,101 and 466,389,848 is: 720,203,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,025,101 : 466,389,848 = 466,389,848 : x
  2. Step 2: Convert to fraction form
    302,025,101/466,389,848 = 466,389,848/x
  3. Step 3: Cross multiply
    302,025,101x = 466,389,848 × 466,389,848
  4. Step 4: Simplify right side
    302,025,101x = 217,519,490,317,463,104
  5. Step 5: Solve for x
    x = 217,519,490,317,463,104/302,025,101
  6. Step 6: Final answer
    x = 720,203,352.63

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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.