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Finding the Third Proportional to 75,132,108 and 113,289,417

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Solution

The third proportional to 75,132,108 and 113,289,417 is: 170,825,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,132,108 : 113,289,417 = 113,289,417 : x
  2. Step 2: Convert to fraction form
    75,132,108/113,289,417 = 113,289,417/x
  3. Step 3: Cross multiply
    75,132,108x = 113,289,417 × 113,289,417
  4. Step 4: Simplify right side
    75,132,108x = 12,834,492,004,199,888
  5. Step 5: Solve for x
    x = 12,834,492,004,199,888/75,132,108
  6. Step 6: Final answer
    x = 170,825,660.90

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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.