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Finding the Third Proportional to 232,766,786 and 365,141,523

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Solution

The third proportional to 232,766,786 and 365,141,523 is: 572,797,924.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,766,786 : 365,141,523 = 365,141,523 : x
  2. Step 2: Convert to fraction form
    232,766,786/365,141,523 = 365,141,523/x
  3. Step 3: Cross multiply
    232,766,786x = 365,141,523 × 365,141,523
  4. Step 4: Simplify right side
    232,766,786x = 133,328,331,818,759,536
  5. Step 5: Solve for x
    x = 133,328,331,818,759,536/232,766,786
  6. Step 6: Final answer
    x = 572,797,924.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.