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Finding the Third Proportional to 107,435,706 and 230,187,194

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Solution

The third proportional to 107,435,706 and 230,187,194 is: 493,189,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,435,706 : 230,187,194 = 230,187,194 : x
  2. Step 2: Convert to fraction form
    107,435,706/230,187,194 = 230,187,194/x
  3. Step 3: Cross multiply
    107,435,706x = 230,187,194 × 230,187,194
  4. Step 4: Simplify right side
    107,435,706x = 52,986,144,281,593,632
  5. Step 5: Solve for x
    x = 52,986,144,281,593,632/107,435,706
  6. Step 6: Final answer
    x = 493,189,333.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.