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Finding the Third Proportional to 115,125,408 and 234,875,349

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Solution

The third proportional to 115,125,408 and 234,875,349 is: 479,185,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,125,408 : 234,875,349 = 234,875,349 : x
  2. Step 2: Convert to fraction form
    115,125,408/234,875,349 = 234,875,349/x
  3. Step 3: Cross multiply
    115,125,408x = 234,875,349 × 234,875,349
  4. Step 4: Simplify right side
    115,125,408x = 55,166,429,567,871,800
  5. Step 5: Solve for x
    x = 55,166,429,567,871,800/115,125,408
  6. Step 6: Final answer
    x = 479,185,529.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.