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Finding the Third Proportional to 90,542,863.13 and 196,127,509.78

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Solution

The third proportional to 90,542,863.13 and 196,127,509.78 is: 424,837,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,542,863.13 : 196,127,509.78 = 196,127,509.78 : x
  2. Step 2: Convert to fraction form
    90,542,863.13/196,127,509.78 = 196,127,509.78/x
  3. Step 3: Cross multiply
    90,542,863.13x = 196,127,509.78 × 196,127,509.78
  4. Step 4: Simplify right side
    90,542,863.13x = 38,466,000,092,994,312
  5. Step 5: Solve for x
    x = 38,466,000,092,994,312/90,542,863.13
  6. Step 6: Final answer
    x = 424,837,461.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.