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Finding the Third Proportional to 86,461,239 and 188,274,024

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Solution

The third proportional to 86,461,239 and 188,274,024 is: 409,976,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461,239 : 188,274,024 = 188,274,024 : x
  2. Step 2: Convert to fraction form
    86,461,239/188,274,024 = 188,274,024/x
  3. Step 3: Cross multiply
    86,461,239x = 188,274,024 × 188,274,024
  4. Step 4: Simplify right side
    86,461,239x = 35,447,108,113,152,576
  5. Step 5: Solve for x
    x = 35,447,108,113,152,576/86,461,239
  6. Step 6: Final answer
    x = 409,976,869.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.