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Finding the Third Proportional to 67,257,029 and 144,829,219

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Solution

The third proportional to 67,257,029 and 144,829,219 is: 311,870,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257,029 : 144,829,219 = 144,829,219 : x
  2. Step 2: Convert to fraction form
    67,257,029/144,829,219 = 144,829,219/x
  3. Step 3: Cross multiply
    67,257,029x = 144,829,219 × 144,829,219
  4. Step 4: Simplify right side
    67,257,029x = 20,975,502,676,149,960
  5. Step 5: Solve for x
    x = 20,975,502,676,149,960/67,257,029
  6. Step 6: Final answer
    x = 311,870,788.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.