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Finding the Third Proportional to 231,704,174 and 349,710,979

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Solution

The third proportional to 231,704,174 and 349,710,979 is: 527,818,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,174 : 349,710,979 = 349,710,979 : x
  2. Step 2: Convert to fraction form
    231,704,174/349,710,979 = 349,710,979/x
  3. Step 3: Cross multiply
    231,704,174x = 349,710,979 × 349,710,979
  4. Step 4: Simplify right side
    231,704,174x = 122,297,768,833,138,448
  5. Step 5: Solve for x
    x = 122,297,768,833,138,448/231,704,174
  6. Step 6: Final answer
    x = 527,818,583.16

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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.