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Finding the Third Proportional to 144,564,492.75 and 220,234,677.75

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Solution

The third proportional to 144,564,492.75 and 220,234,677.75 is: 335,513,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564,492.75 : 220,234,677.75 = 220,234,677.75 : x
  2. Step 2: Convert to fraction form
    144,564,492.75/220,234,677.75 = 220,234,677.75/x
  3. Step 3: Cross multiply
    144,564,492.75x = 220,234,677.75 × 220,234,677.75
  4. Step 4: Simplify right side
    144,564,492.75x = 48,503,313,283,646,344
  5. Step 5: Solve for x
    x = 48,503,313,283,646,344/144,564,492.75
  6. Step 6: Final answer
    x = 335,513,322.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.