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Finding the Third Proportional to 133,909,752,201 and 289,121,636,022

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Solution

The third proportional to 133,909,752,201 and 289,121,636,022 is: 624,236,241,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,909,752,201 : 289,121,636,022 = 289,121,636,022 : x
  2. Step 2: Convert to fraction form
    133,909,752,201/289,121,636,022 = 289,121,636,022/x
  3. Step 3: Cross multiply
    133,909,752,201x = 289,121,636,022 × 289,121,636,022
  4. Step 4: Simplify right side
    133,909,752,201x = 83,591,320,416,037,847,957,504
  5. Step 5: Solve for x
    x = 83,591,320,416,037,847,957,504/133,909,752,201
  6. Step 6: Final answer
    x = 624,236,241,514.11

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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.