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Finding the Third Proportional to 231,703,991 and 349,710,745

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Solution

The third proportional to 231,703,991 and 349,710,745 is: 527,818,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703,991 : 349,710,745 = 349,710,745 : x
  2. Step 2: Convert to fraction form
    231,703,991/349,710,745 = 349,710,745/x
  3. Step 3: Cross multiply
    231,703,991x = 349,710,745 × 349,710,745
  4. Step 4: Simplify right side
    231,703,991x = 122,297,605,168,455,024
  5. Step 5: Solve for x
    x = 122,297,605,168,455,024/231,703,991
  6. Step 6: Final answer
    x = 527,818,293.68

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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.