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Finding the Third Proportional to 46,989,120 and 96,508,032

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Solution

The third proportional to 46,989,120 and 96,508,032 is: 198,211,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,989,120 : 96,508,032 = 96,508,032 : x
  2. Step 2: Convert to fraction form
    46,989,120/96,508,032 = 96,508,032/x
  3. Step 3: Cross multiply
    46,989,120x = 96,508,032 × 96,508,032
  4. Step 4: Simplify right side
    46,989,120x = 9,313,800,240,513,024
  5. Step 5: Solve for x
    x = 9,313,800,240,513,024/46,989,120
  6. Step 6: Final answer
    x = 198,211,846.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.