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Finding the Third Proportional to 115,732,631 and 176,312,177

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Solution

The third proportional to 115,732,631 and 176,312,177 is: 268,601,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732,631 : 176,312,177 = 176,312,177 : x
  2. Step 2: Convert to fraction form
    115,732,631/176,312,177 = 176,312,177/x
  3. Step 3: Cross multiply
    115,732,631x = 176,312,177 × 176,312,177
  4. Step 4: Simplify right side
    115,732,631x = 31,085,983,758,479,328
  5. Step 5: Solve for x
    x = 31,085,983,758,479,328/115,732,631
  6. Step 6: Final answer
    x = 268,601,720.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.