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Finding the Third Proportional to 45,303,077 and 98,164,422

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Solution

The third proportional to 45,303,077 and 98,164,422 is: 212,706,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,303,077 : 98,164,422 = 98,164,422 : x
  2. Step 2: Convert to fraction form
    45,303,077/98,164,422 = 98,164,422/x
  3. Step 3: Cross multiply
    45,303,077x = 98,164,422 × 98,164,422
  4. Step 4: Simplify right side
    45,303,077x = 9,636,253,746,594,084
  5. Step 5: Solve for x
    x = 9,636,253,746,594,084/45,303,077
  6. Step 6: Final answer
    x = 212,706,385.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.