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Finding the Third Proportional to 191,063,544 and 417,899,664

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Solution

The third proportional to 191,063,544 and 417,899,664 is: 914,042,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,063,544 : 417,899,664 = 417,899,664 : x
  2. Step 2: Convert to fraction form
    191,063,544/417,899,664 = 417,899,664/x
  3. Step 3: Cross multiply
    191,063,544x = 417,899,664 × 417,899,664
  4. Step 4: Simplify right side
    191,063,544x = 174,640,129,171,312,896
  5. Step 5: Solve for x
    x = 174,640,129,171,312,896/191,063,544
  6. Step 6: Final answer
    x = 914,042,132.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.