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Finding the Third Proportional to 152,306,928 and 232,031,520

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Solution

The third proportional to 152,306,928 and 232,031,520 is: 353,487,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,306,928 : 232,031,520 = 232,031,520 : x
  2. Step 2: Convert to fraction form
    152,306,928/232,031,520 = 232,031,520/x
  3. Step 3: Cross multiply
    152,306,928x = 232,031,520 × 232,031,520
  4. Step 4: Simplify right side
    152,306,928x = 53,838,626,273,510,400
  5. Step 5: Solve for x
    x = 53,838,626,273,510,400/152,306,928
  6. Step 6: Final answer
    x = 353,487,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.