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Finding the Third Proportional to 89,465,943 and 195,678,798

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Solution

The third proportional to 89,465,943 and 195,678,798 is: 427,986,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465,943 : 195,678,798 = 195,678,798 : x
  2. Step 2: Convert to fraction form
    89,465,943/195,678,798 = 195,678,798/x
  3. Step 3: Cross multiply
    89,465,943x = 195,678,798 × 195,678,798
  4. Step 4: Simplify right side
    89,465,943x = 38,290,191,986,724,800
  5. Step 5: Solve for x
    x = 38,290,191,986,724,800/89,465,943
  6. Step 6: Final answer
    x = 427,986,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.