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Finding the Third Proportional to 76,157,496 and 164,434,293

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Solution

The third proportional to 76,157,496 and 164,434,293 is: 355,035,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,157,496 : 164,434,293 = 164,434,293 : x
  2. Step 2: Convert to fraction form
    76,157,496/164,434,293 = 164,434,293/x
  3. Step 3: Cross multiply
    76,157,496x = 164,434,293 × 164,434,293
  4. Step 4: Simplify right side
    76,157,496x = 27,038,636,714,409,848
  5. Step 5: Solve for x
    x = 27,038,636,714,409,848/76,157,496
  6. Step 6: Final answer
    x = 355,035,789.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.