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Finding the Third Proportional to 46,151,281 and 98,480,810

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Solution

The third proportional to 46,151,281 and 98,480,810 is: 210,145,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,151,281 : 98,480,810 = 98,480,810 : x
  2. Step 2: Convert to fraction form
    46,151,281/98,480,810 = 98,480,810/x
  3. Step 3: Cross multiply
    46,151,281x = 98,480,810 × 98,480,810
  4. Step 4: Simplify right side
    46,151,281x = 9,698,469,938,256,100
  5. Step 5: Solve for x
    x = 9,698,469,938,256,100/46,151,281
  6. Step 6: Final answer
    x = 210,145,194.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.