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Finding the Third Proportional to 115,852,176.75 and 174,855,627.75

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Solution

The third proportional to 115,852,176.75 and 174,855,627.75 is: 263,909,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,852,176.75 : 174,855,627.75 = 174,855,627.75 : x
  2. Step 2: Convert to fraction form
    115,852,176.75/174,855,627.75 = 174,855,627.75/x
  3. Step 3: Cross multiply
    115,852,176.75x = 174,855,627.75 × 174,855,627.75
  4. Step 4: Simplify right side
    115,852,176.75x = 30,574,490,555,846,572
  5. Step 5: Solve for x
    x = 30,574,490,555,846,572/115,852,176.75
  6. Step 6: Final answer
    x = 263,909,504.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.