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Finding the Third Proportional to 145,355,767 and 223,422,231

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Solution

The third proportional to 145,355,767 and 223,422,231 is: 343,415,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,767 : 223,422,231 = 223,422,231 : x
  2. Step 2: Convert to fraction form
    145,355,767/223,422,231 = 223,422,231/x
  3. Step 3: Cross multiply
    145,355,767x = 223,422,231 × 223,422,231
  4. Step 4: Simplify right side
    145,355,767x = 49,917,493,305,017,360
  5. Step 5: Solve for x
    x = 49,917,493,305,017,360/145,355,767
  6. Step 6: Final answer
    x = 343,415,980.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.