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Finding the Third Proportional to 231,704,176 and 349,710,982

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Solution

The third proportional to 231,704,176 and 349,710,982 is: 527,818,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,176 : 349,710,982 = 349,710,982 : x
  2. Step 2: Convert to fraction form
    231,704,176/349,710,982 = 349,710,982/x
  3. Step 3: Cross multiply
    231,704,176x = 349,710,982 × 349,710,982
  4. Step 4: Simplify right side
    231,704,176x = 122,297,770,931,404,320
  5. Step 5: Solve for x
    x = 122,297,770,931,404,320/231,704,176
  6. Step 6: Final answer
    x = 527,818,587.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.