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Finding the Third Proportional to 100,418,355,652 and 218,487,845,064.50

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Solution

The third proportional to 100,418,355,652 and 218,487,845,064.50 is: 475,380,602,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418,355,652 : 218,487,845,064.50 = 218,487,845,064.50 : x
  2. Step 2: Convert to fraction form
    100,418,355,652/218,487,845,064.50 = 218,487,845,064.50/x
  3. Step 3: Cross multiply
    100,418,355,652x = 218,487,845,064.50 × 218,487,845,064.50
  4. Step 4: Simplify right side
    100,418,355,652x = 47,736,938,440,928,956,252,160
  5. Step 5: Solve for x
    x = 47,736,938,440,928,956,252,160/100,418,355,652
  6. Step 6: Final answer
    x = 475,380,602,789.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.