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Finding the Third Proportional to 46,635.75 and 101,547

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Solution

The third proportional to 46,635.75 and 101,547 is: 221,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,635.75 : 101,547 = 101,547 : x
  2. Step 2: Convert to fraction form
    46,635.75/101,547 = 101,547/x
  3. Step 3: Cross multiply
    46,635.75x = 101,547 × 101,547
  4. Step 4: Simplify right side
    46,635.75x = 10,311,793,209
  5. Step 5: Solve for x
    x = 10,311,793,209/46,635.75
  6. Step 6: Final answer
    x = 221,113.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.