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Finding the Third Proportional to 193,807,693 and 297,896,320

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Solution

The third proportional to 193,807,693 and 297,896,320 is: 457,888,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807,693 : 297,896,320 = 297,896,320 : x
  2. Step 2: Convert to fraction form
    193,807,693/297,896,320 = 297,896,320/x
  3. Step 3: Cross multiply
    193,807,693x = 297,896,320 × 297,896,320
  4. Step 4: Simplify right side
    193,807,693x = 88,742,217,469,542,400
  5. Step 5: Solve for x
    x = 88,742,217,469,542,400/193,807,693
  6. Step 6: Final answer
    x = 457,888,002.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.