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Finding the Third Proportional to 115,645,996 and 158,581,944

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Solution

The third proportional to 115,645,996 and 158,581,944 is: 217,458,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,645,996 : 158,581,944 = 158,581,944 : x
  2. Step 2: Convert to fraction form
    115,645,996/158,581,944 = 158,581,944/x
  3. Step 3: Cross multiply
    115,645,996x = 158,581,944 × 158,581,944
  4. Step 4: Simplify right side
    115,645,996x = 25,148,232,962,819,136
  5. Step 5: Solve for x
    x = 25,148,232,962,819,136/115,645,996
  6. Step 6: Final answer
    x = 217,458,743.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.