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Finding the Third Proportional to 197,947,648.13 and 434,915,750.25

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Solution

The third proportional to 197,947,648.13 and 434,915,750.25 is: 955,564,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,947,648.13 : 434,915,750.25 = 434,915,750.25 : x
  2. Step 2: Convert to fraction form
    197,947,648.13/434,915,750.25 = 434,915,750.25/x
  3. Step 3: Cross multiply
    197,947,648.13x = 434,915,750.25 × 434,915,750.25
  4. Step 4: Simplify right side
    197,947,648.13x = 189,151,709,815,520,384
  5. Step 5: Solve for x
    x = 189,151,709,815,520,384/197,947,648.13
  6. Step 6: Final answer
    x = 955,564,320.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.