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Finding the Third Proportional to 46,929.38 and 101,239.88

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Solution

The third proportional to 46,929.38 and 101,239.88 is: 218,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,929.38 : 101,239.88 = 101,239.88 : x
  2. Step 2: Convert to fraction form
    46,929.38/101,239.88 = 101,239.88/x
  3. Step 3: Cross multiply
    46,929.38x = 101,239.88 × 101,239.88
  4. Step 4: Simplify right side
    46,929.38x = 10,249,512,290.02
  5. Step 5: Solve for x
    x = 10,249,512,290.02/46,929.38
  6. Step 6: Final answer
    x = 218,402.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.