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Finding the Third Proportional to 97,104,302.25 and 208,059,280.50

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Solution

The third proportional to 97,104,302.25 and 208,059,280.50 is: 445,795,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104,302.25 : 208,059,280.50 = 208,059,280.50 : x
  2. Step 2: Convert to fraction form
    97,104,302.25/208,059,280.50 = 208,059,280.50/x
  3. Step 3: Cross multiply
    97,104,302.25x = 208,059,280.50 × 208,059,280.50
  4. Step 4: Simplify right side
    97,104,302.25x = 43,288,664,202,177,680
  5. Step 5: Solve for x
    x = 43,288,664,202,177,680/97,104,302.25
  6. Step 6: Final answer
    x = 445,795,533.25

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