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Finding the Third Proportional to 46,284,598 and 99,534,764

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Solution

The third proportional to 46,284,598 and 99,534,764 is: 214,048,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,598 : 99,534,764 = 99,534,764 : x
  2. Step 2: Convert to fraction form
    46,284,598/99,534,764 = 99,534,764/x
  3. Step 3: Cross multiply
    46,284,598x = 99,534,764 × 99,534,764
  4. Step 4: Simplify right side
    46,284,598x = 9,907,169,244,535,696
  5. Step 5: Solve for x
    x = 9,907,169,244,535,696/46,284,598
  6. Step 6: Final answer
    x = 214,048,942.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.