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Finding the Third Proportional to 120,473,600 and 186,151,680

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Solution

The third proportional to 120,473,600 and 186,151,680 is: 287,635,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,473,600 : 186,151,680 = 186,151,680 : x
  2. Step 2: Convert to fraction form
    120,473,600/186,151,680 = 186,151,680/x
  3. Step 3: Cross multiply
    120,473,600x = 186,151,680 × 186,151,680
  4. Step 4: Simplify right side
    120,473,600x = 34,652,447,966,822,400
  5. Step 5: Solve for x
    x = 34,652,447,966,822,400/120,473,600
  6. Step 6: Final answer
    x = 287,635,199.47

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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.