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Finding the Third Proportional to 231,704,163 and 349,710,963.75

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Solution

The third proportional to 231,704,163 and 349,710,963.75 is: 527,818,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,163 : 349,710,963.75 = 349,710,963.75 : x
  2. Step 2: Convert to fraction form
    231,704,163/349,710,963.75 = 349,710,963.75/x
  3. Step 3: Cross multiply
    231,704,163x = 349,710,963.75 × 349,710,963.75
  4. Step 4: Simplify right side
    231,704,163x = 122,297,758,166,953,808
  5. Step 5: Solve for x
    x = 122,297,758,166,953,808/231,704,163
  6. Step 6: Final answer
    x = 527,818,562.19

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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.