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Finding the Third Proportional to 45,814,461 and 98,802,201

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Solution

The third proportional to 45,814,461 and 98,802,201 is: 213,074,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,814,461 : 98,802,201 = 98,802,201 : x
  2. Step 2: Convert to fraction form
    45,814,461/98,802,201 = 98,802,201/x
  3. Step 3: Cross multiply
    45,814,461x = 98,802,201 × 98,802,201
  4. Step 4: Simplify right side
    45,814,461x = 9,761,874,922,444,400
  5. Step 5: Solve for x
    x = 9,761,874,922,444,400/45,814,461
  6. Step 6: Final answer
    x = 213,074,097.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.