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Finding the Third Proportional to 181,116,719 and 282,436,706

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Solution

The third proportional to 181,116,719 and 282,436,706 is: 440,436,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,719 : 282,436,706 = 282,436,706 : x
  2. Step 2: Convert to fraction form
    181,116,719/282,436,706 = 282,436,706/x
  3. Step 3: Cross multiply
    181,116,719x = 282,436,706 × 282,436,706
  4. Step 4: Simplify right side
    181,116,719x = 79,770,492,896,130,432
  5. Step 5: Solve for x
    x = 79,770,492,896,130,432/181,116,719
  6. Step 6: Final answer
    x = 440,436,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.