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Finding the Third Proportional to 46,552 and 100,484

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Solution

The third proportional to 46,552 and 100,484 is: 216,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,552 : 100,484 = 100,484 : x
  2. Step 2: Convert to fraction form
    46,552/100,484 = 100,484/x
  3. Step 3: Cross multiply
    46,552x = 100,484 × 100,484
  4. Step 4: Simplify right side
    46,552x = 10,097,034,256
  5. Step 5: Solve for x
    x = 10,097,034,256/46,552
  6. Step 6: Final answer
    x = 216,897.97

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