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Finding the Third Proportional to 46,640,934 and 96,269,283

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Solution

The third proportional to 46,640,934 and 96,269,283 is: 198,704,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640,934 : 96,269,283 = 96,269,283 : x
  2. Step 2: Convert to fraction form
    46,640,934/96,269,283 = 96,269,283/x
  3. Step 3: Cross multiply
    46,640,934x = 96,269,283 × 96,269,283
  4. Step 4: Simplify right side
    46,640,934x = 9,267,774,849,334,088
  5. Step 5: Solve for x
    x = 9,267,774,849,334,088/46,640,934
  6. Step 6: Final answer
    x = 198,704,743.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.