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Finding the Third Proportional to 231,704,165 and 349,710,967

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Solution

The third proportional to 231,704,165 and 349,710,967 is: 527,818,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,704,165 : 349,710,967 = 349,710,967 : x
  2. Step 2: Convert to fraction form
    231,704,165/349,710,967 = 349,710,967/x
  3. Step 3: Cross multiply
    231,704,165x = 349,710,967 × 349,710,967
  4. Step 4: Simplify right side
    231,704,165x = 122,297,760,440,075,088
  5. Step 5: Solve for x
    x = 122,297,760,440,075,088/231,704,165
  6. Step 6: Final answer
    x = 527,818,567.44

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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.