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Finding the Third Proportional to 46,348.45 and 99,257.91

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Solution

The third proportional to 46,348.45 and 99,257.91 is: 212,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,348.45 : 99,257.91 = 99,257.91 : x
  2. Step 2: Convert to fraction form
    46,348.45/99,257.91 = 99,257.91/x
  3. Step 3: Cross multiply
    46,348.45x = 99,257.91 × 99,257.91
  4. Step 4: Simplify right side
    46,348.45x = 9,852,131,953.13
  5. Step 5: Solve for x
    x = 9,852,131,953.13/46,348.45
  6. Step 6: Final answer
    x = 212,566.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.