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Finding the Third Proportional to 46,299,538 and 98,748,190

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Solution

The third proportional to 46,299,538 and 98,748,190 is: 210,611,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,299,538 : 98,748,190 = 98,748,190 : x
  2. Step 2: Convert to fraction form
    46,299,538/98,748,190 = 98,748,190/x
  3. Step 3: Cross multiply
    46,299,538x = 98,748,190 × 98,748,190
  4. Step 4: Simplify right side
    46,299,538x = 9,751,205,028,276,100
  5. Step 5: Solve for x
    x = 9,751,205,028,276,100/46,299,538
  6. Step 6: Final answer
    x = 210,611,281.44

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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.