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Finding the Third Proportional to 197,826,072 and 424,903,344

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Solution

The third proportional to 197,826,072 and 424,903,344 is: 912,634,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,826,072 : 424,903,344 = 424,903,344 : x
  2. Step 2: Convert to fraction form
    197,826,072/424,903,344 = 424,903,344/x
  3. Step 3: Cross multiply
    197,826,072x = 424,903,344 × 424,903,344
  4. Step 4: Simplify right side
    197,826,072x = 180,542,851,742,382,336
  5. Step 5: Solve for x
    x = 180,542,851,742,382,336/197,826,072
  6. Step 6: Final answer
    x = 912,634,264.62

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