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Finding the Third Proportional to 127,519,147,323 and 295,214,642,490.50

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Solution

The third proportional to 127,519,147,323 and 295,214,642,490.50 is: 683,439,992,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,519,147,323 : 295,214,642,490.50 = 295,214,642,490.50 : x
  2. Step 2: Convert to fraction form
    127,519,147,323/295,214,642,490.50 = 295,214,642,490.50/x
  3. Step 3: Cross multiply
    127,519,147,323x = 295,214,642,490.50 × 295,214,642,490.50
  4. Step 4: Simplify right side
    127,519,147,323x = 87,151,685,140,793,733,939,200
  5. Step 5: Solve for x
    x = 87,151,685,140,793,733,939,200/127,519,147,323
  6. Step 6: Final answer
    x = 683,439,992,898.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.