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Finding the Third Proportional to 97,104,784 and 208,060,228

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Solution

The third proportional to 97,104,784 and 208,060,228 is: 445,797,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,784 : 208,060,228 = 208,060,228 : x
  2. Step 2: Convert to fraction form
    97,104,784/208,060,228 = 208,060,228/x
  3. Step 3: Cross multiply
    97,104,784x = 208,060,228 × 208,060,228
  4. Step 4: Simplify right side
    97,104,784x = 43,289,058,475,411,984
  5. Step 5: Solve for x
    x = 43,289,058,475,411,984/97,104,784
  6. Step 6: Final answer
    x = 445,797,381.88

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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.