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Finding the Third Proportional to 46,413 and 98,658

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Solution

The third proportional to 46,413 and 98,658 is: 209,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 98,658 = 98,658 : x
  2. Step 2: Convert to fraction form
    46,413/98,658 = 98,658/x
  3. Step 3: Cross multiply
    46,413x = 98,658 × 98,658
  4. Step 4: Simplify right side
    46,413x = 9,733,400,964
  5. Step 5: Solve for x
    x = 9,733,400,964/46,413
  6. Step 6: Final answer
    x = 209,712.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.