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Finding the Third Proportional to 40,180,259 and 87,210,211

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Solution

The third proportional to 40,180,259 and 87,210,211 is: 189,287,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180,259 : 87,210,211 = 87,210,211 : x
  2. Step 2: Convert to fraction form
    40,180,259/87,210,211 = 87,210,211/x
  3. Step 3: Cross multiply
    40,180,259x = 87,210,211 × 87,210,211
  4. Step 4: Simplify right side
    40,180,259x = 7,605,620,902,664,521
  5. Step 5: Solve for x
    x = 7,605,620,902,664,521/40,180,259
  6. Step 6: Final answer
    x = 189,287,503.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.