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Finding the Third Proportional to 225,935,376 and 349,127,768.25

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Solution

The third proportional to 225,935,376 and 349,127,768.25 is: 539,491,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,935,376 : 349,127,768.25 = 349,127,768.25 : x
  2. Step 2: Convert to fraction form
    225,935,376/349,127,768.25 = 349,127,768.25/x
  3. Step 3: Cross multiply
    225,935,376x = 349,127,768.25 × 349,127,768.25
  4. Step 4: Simplify right side
    225,935,376x = 121,890,198,563,225,712
  5. Step 5: Solve for x
    x = 121,890,198,563,225,712/225,935,376
  6. Step 6: Final answer
    x = 539,491,427.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.