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Finding the Third Proportional to 45,369,584 and 99,557,120

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Solution

The third proportional to 45,369,584 and 99,557,120 is: 218,463,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,369,584 : 99,557,120 = 99,557,120 : x
  2. Step 2: Convert to fraction form
    45,369,584/99,557,120 = 99,557,120/x
  3. Step 3: Cross multiply
    45,369,584x = 99,557,120 × 99,557,120
  4. Step 4: Simplify right side
    45,369,584x = 9,911,620,142,694,400
  5. Step 5: Solve for x
    x = 9,911,620,142,694,400/45,369,584
  6. Step 6: Final answer
    x = 218,463,985.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.