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Finding the Third Proportional to 46,787.84 and 101,457.88

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Solution

The third proportional to 46,787.84 and 101,457.88 is: 220,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,787.84 : 101,457.88 = 101,457.88 : x
  2. Step 2: Convert to fraction form
    46,787.84/101,457.88 = 101,457.88/x
  3. Step 3: Cross multiply
    46,787.84x = 101,457.88 × 101,457.88
  4. Step 4: Simplify right side
    46,787.84x = 10,293,701,192.16
  5. Step 5: Solve for x
    x = 10,293,701,192.16/46,787.84
  6. Step 6: Final answer
    x = 220,008.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.