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Finding the Third Proportional to 45,539,228 and 99,938,356

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Solution

The third proportional to 45,539,228 and 99,938,356 is: 219,320,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,539,228 : 99,938,356 = 99,938,356 : x
  2. Step 2: Convert to fraction form
    45,539,228/99,938,356 = 99,938,356/x
  3. Step 3: Cross multiply
    45,539,228x = 99,938,356 × 99,938,356
  4. Step 4: Simplify right side
    45,539,228x = 9,987,674,999,982,736
  5. Step 5: Solve for x
    x = 9,987,674,999,982,736/45,539,228
  6. Step 6: Final answer
    x = 219,320,252.86

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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.