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Finding the Third Proportional to 97,084,440 and 208,576,488

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Solution

The third proportional to 97,084,440 and 208,576,488 is: 448,106,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084,440 : 208,576,488 = 208,576,488 : x
  2. Step 2: Convert to fraction form
    97,084,440/208,576,488 = 208,576,488/x
  3. Step 3: Cross multiply
    97,084,440x = 208,576,488 × 208,576,488
  4. Step 4: Simplify right side
    97,084,440x = 43,504,151,346,414,144
  5. Step 5: Solve for x
    x = 43,504,151,346,414,144/97,084,440
  6. Step 6: Final answer
    x = 448,106,322.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.