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Finding the Third Proportional to 102,640,018.50 and 212,555,522.25

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Solution

The third proportional to 102,640,018.50 and 212,555,522.25 is: 440,177,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,640,018.50 : 212,555,522.25 = 212,555,522.25 : x
  2. Step 2: Convert to fraction form
    102,640,018.50/212,555,522.25 = 212,555,522.25/x
  3. Step 3: Cross multiply
    102,640,018.50x = 212,555,522.25 × 212,555,522.25
  4. Step 4: Simplify right side
    102,640,018.50x = 45,179,850,038,970,248
  5. Step 5: Solve for x
    x = 45,179,850,038,970,248/102,640,018.50
  6. Step 6: Final answer
    x = 440,177,726.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.