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Finding the Third Proportional to 100,272,837,225 and 151,698,901,917.50

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Solution

The third proportional to 100,272,837,225 and 151,698,901,917.50 is: 229,499,408,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272,837,225 : 151,698,901,917.50 = 151,698,901,917.50 : x
  2. Step 2: Convert to fraction form
    100,272,837,225/151,698,901,917.50 = 151,698,901,917.50/x
  3. Step 3: Cross multiply
    100,272,837,225x = 151,698,901,917.50 × 151,698,901,917.50
  4. Step 4: Simplify right side
    100,272,837,225x = 23,012,556,842,975,283,380,224
  5. Step 5: Solve for x
    x = 23,012,556,842,975,283,380,224/100,272,837,225
  6. Step 6: Final answer
    x = 229,499,408,611.91

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1.5x scale

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.