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Finding the Third Proportional to 92,294,370 and 144,777,267

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Solution

The third proportional to 92,294,370 and 144,777,267 is: 227,104,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,294,370 : 144,777,267 = 144,777,267 : x
  2. Step 2: Convert to fraction form
    92,294,370/144,777,267 = 144,777,267/x
  3. Step 3: Cross multiply
    92,294,370x = 144,777,267 × 144,777,267
  4. Step 4: Simplify right side
    92,294,370x = 20,960,457,039,989,288
  5. Step 5: Solve for x
    x = 20,960,457,039,989,288/92,294,370
  6. Step 6: Final answer
    x = 227,104,394.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.