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Finding the Third Proportional to 97,263,256 and 208,427,085

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Solution

The third proportional to 97,263,256 and 208,427,085 is: 446,641,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,263,256 : 208,427,085 = 208,427,085 : x
  2. Step 2: Convert to fraction form
    97,263,256/208,427,085 = 208,427,085/x
  3. Step 3: Cross multiply
    97,263,256x = 208,427,085 × 208,427,085
  4. Step 4: Simplify right side
    97,263,256x = 43,441,849,761,597,224
  5. Step 5: Solve for x
    x = 43,441,849,761,597,224/97,263,256
  6. Step 6: Final answer
    x = 446,641,944.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.