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Finding the Third Proportional to 114,758,758.50 and 247,652,668.50

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Solution

The third proportional to 114,758,758.50 and 247,652,668.50 is: 534,441,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,758,758.50 : 247,652,668.50 = 247,652,668.50 : x
  2. Step 2: Convert to fraction form
    114,758,758.50/247,652,668.50 = 247,652,668.50/x
  3. Step 3: Cross multiply
    114,758,758.50x = 247,652,668.50 × 247,652,668.50
  4. Step 4: Simplify right side
    114,758,758.50x = 61,331,844,215,170,896
  5. Step 5: Solve for x
    x = 61,331,844,215,170,896/114,758,758.50
  6. Step 6: Final answer
    x = 534,441,510.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.