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Finding the Third Proportional to 103,473 and 220,695.75

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Solution

The third proportional to 103,473 and 220,695.75 is: 470,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,473 : 220,695.75 = 220,695.75 : x
  2. Step 2: Convert to fraction form
    103,473/220,695.75 = 220,695.75/x
  3. Step 3: Cross multiply
    103,473x = 220,695.75 × 220,695.75
  4. Step 4: Simplify right side
    103,473x = 48,706,614,068.06
  5. Step 5: Solve for x
    x = 48,706,614,068.06/103,473
  6. Step 6: Final answer
    x = 470,718.10

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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.