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Finding the Third Proportional to 113,759,860.50 and 171,835,323.75

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Solution

The third proportional to 113,759,860.50 and 171,835,323.75 is: 259,558,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,759,860.50 : 171,835,323.75 = 171,835,323.75 : x
  2. Step 2: Convert to fraction form
    113,759,860.50/171,835,323.75 = 171,835,323.75/x
  3. Step 3: Cross multiply
    113,759,860.50x = 171,835,323.75 × 171,835,323.75
  4. Step 4: Simplify right side
    113,759,860.50x = 29,527,378,488,267,316
  5. Step 5: Solve for x
    x = 29,527,378,488,267,316/113,759,860.50
  6. Step 6: Final answer
    x = 259,558,849.30

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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.