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Finding the Third Proportional to 58,782,472.88 and 82,217,095.88

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Solution

The third proportional to 58,782,472.88 and 82,217,095.88 is: 114,994,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782,472.88 : 82,217,095.88 = 82,217,095.88 : x
  2. Step 2: Convert to fraction form
    58,782,472.88/82,217,095.88 = 82,217,095.88/x
  3. Step 3: Cross multiply
    58,782,472.88x = 82,217,095.88 × 82,217,095.88
  4. Step 4: Simplify right side
    58,782,472.88x = 6,759,650,854,118,942
  5. Step 5: Solve for x
    x = 6,759,650,854,118,942/58,782,472.88
  6. Step 6: Final answer
    x = 114,994,326.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.