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Finding the Third Proportional to 144,190,714.50 and 223,410,679.88

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Solution

The third proportional to 144,190,714.50 and 223,410,679.88 is: 346,154,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,190,714.50 : 223,410,679.88 = 223,410,679.88 : x
  2. Step 2: Convert to fraction form
    144,190,714.50/223,410,679.88 = 223,410,679.88/x
  3. Step 3: Cross multiply
    144,190,714.50x = 223,410,679.88 × 223,410,679.88
  4. Step 4: Simplify right side
    144,190,714.50x = 49,912,331,882,209,728
  5. Step 5: Solve for x
    x = 49,912,331,882,209,728/144,190,714.50
  6. Step 6: Final answer
    x = 346,154,966.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.