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Finding the Third Proportional to 120,473,602 and 186,151,683

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Solution

The third proportional to 120,473,602 and 186,151,683 is: 287,635,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,473,602 : 186,151,683 = 186,151,683 : x
  2. Step 2: Convert to fraction form
    120,473,602/186,151,683 = 186,151,683/x
  3. Step 3: Cross multiply
    120,473,602x = 186,151,683 × 186,151,683
  4. Step 4: Simplify right side
    120,473,602x = 34,652,449,083,732,488
  5. Step 5: Solve for x
    x = 34,652,449,083,732,488/120,473,602
  6. Step 6: Final answer
    x = 287,635,203.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.