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Finding the Third Proportional to 115,119,810 and 177,126,034

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Solution

The third proportional to 115,119,810 and 177,126,034 is: 272,530,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,119,810 : 177,126,034 = 177,126,034 : x
  2. Step 2: Convert to fraction form
    115,119,810/177,126,034 = 177,126,034/x
  3. Step 3: Cross multiply
    115,119,810x = 177,126,034 × 177,126,034
  4. Step 4: Simplify right side
    115,119,810x = 31,373,631,920,569,156
  5. Step 5: Solve for x
    x = 31,373,631,920,569,156/115,119,810
  6. Step 6: Final answer
    x = 272,530,261.48

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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.