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Finding the Third Proportional to 159,733,376 and 233,609,664

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Solution

The third proportional to 159,733,376 and 233,609,664 is: 341,653,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,733,376 : 233,609,664 = 233,609,664 : x
  2. Step 2: Convert to fraction form
    159,733,376/233,609,664 = 233,609,664/x
  3. Step 3: Cross multiply
    159,733,376x = 233,609,664 × 233,609,664
  4. Step 4: Simplify right side
    159,733,376x = 54,573,475,114,192,896
  5. Step 5: Solve for x
    x = 54,573,475,114,192,896/159,733,376
  6. Step 6: Final answer
    x = 341,653,550.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.