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Finding the Third Proportional to 144,311,244.50 and 315,074,785

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Solution

The third proportional to 144,311,244.50 and 315,074,785 is: 687,902,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,311,244.50 : 315,074,785 = 315,074,785 : x
  2. Step 2: Convert to fraction form
    144,311,244.50/315,074,785 = 315,074,785/x
  3. Step 3: Cross multiply
    144,311,244.50x = 315,074,785 × 315,074,785
  4. Step 4: Simplify right side
    144,311,244.50x = 99,272,120,142,796,224
  5. Step 5: Solve for x
    x = 99,272,120,142,796,224/144,311,244.50
  6. Step 6: Final answer
    x = 687,902,876.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.