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Finding the Third Proportional to 197,826,074 and 424,903,348

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Solution

The third proportional to 197,826,074 and 424,903,348 is: 912,634,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,826,074 : 424,903,348 = 424,903,348 : x
  2. Step 2: Convert to fraction form
    197,826,074/424,903,348 = 424,903,348/x
  3. Step 3: Cross multiply
    197,826,074x = 424,903,348 × 424,903,348
  4. Step 4: Simplify right side
    197,826,074x = 180,542,855,141,609,088
  5. Step 5: Solve for x
    x = 180,542,855,141,609,088/197,826,074
  6. Step 6: Final answer
    x = 912,634,272.58

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Why These Related Problems?

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