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Finding the Third Proportional to 100,272,837,224 and 151,698,901,916

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Solution

The third proportional to 100,272,837,224 and 151,698,901,916 is: 229,499,408,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272,837,224 : 151,698,901,916 = 151,698,901,916 : x
  2. Step 2: Convert to fraction form
    100,272,837,224/151,698,901,916 = 151,698,901,916/x
  3. Step 3: Cross multiply
    100,272,837,224x = 151,698,901,916 × 151,698,901,916
  4. Step 4: Simplify right side
    100,272,837,224x = 23,012,556,842,520,188,813,312
  5. Step 5: Solve for x
    x = 23,012,556,842,520,188,813,312/100,272,837,224
  6. Step 6: Final answer
    x = 229,499,408,609.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.