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Finding the Third Proportional to 224,191,648.13 and 315,573,301.69

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Solution

The third proportional to 224,191,648.13 and 315,573,301.69 is: 444,202,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,191,648.13 : 315,573,301.69 = 315,573,301.69 : x
  2. Step 2: Convert to fraction form
    224,191,648.13/315,573,301.69 = 315,573,301.69/x
  3. Step 3: Cross multiply
    224,191,648.13x = 315,573,301.69 × 315,573,301.69
  4. Step 4: Simplify right side
    224,191,648.13x = 99,586,508,737,949,888
  5. Step 5: Solve for x
    x = 99,586,508,737,949,888/224,191,648.13
  6. Step 6: Final answer
    x = 444,202,581.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.