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Finding the Third Proportional to 98,957,478 and 200,698,764

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Solution

The third proportional to 98,957,478 and 200,698,764 is: 407,043,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,957,478 : 200,698,764 = 200,698,764 : x
  2. Step 2: Convert to fraction form
    98,957,478/200,698,764 = 200,698,764/x
  3. Step 3: Cross multiply
    98,957,478x = 200,698,764 × 200,698,764
  4. Step 4: Simplify right side
    98,957,478x = 40,279,993,871,127,696
  5. Step 5: Solve for x
    x = 40,279,993,871,127,696/98,957,478
  6. Step 6: Final answer
    x = 407,043,456.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.