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Finding the Third Proportional to 120,144,515.50 and 186,119,630.50

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Solution

The third proportional to 120,144,515.50 and 186,119,630.50 is: 288,323,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144,515.50 : 186,119,630.50 = 186,119,630.50 : x
  2. Step 2: Convert to fraction form
    120,144,515.50/186,119,630.50 = 186,119,630.50/x
  3. Step 3: Cross multiply
    120,144,515.50x = 186,119,630.50 × 186,119,630.50
  4. Step 4: Simplify right side
    120,144,515.50x = 34,640,516,857,456,532
  5. Step 5: Solve for x
    x = 34,640,516,857,456,532/120,144,515.50
  6. Step 6: Final answer
    x = 288,323,746.73

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