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Finding the Third Proportional to 90,541,929.50 and 196,125,535

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Solution

The third proportional to 90,541,929.50 and 196,125,535 is: 424,833,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,541,929.50 : 196,125,535 = 196,125,535 : x
  2. Step 2: Convert to fraction form
    90,541,929.50/196,125,535 = 196,125,535/x
  3. Step 3: Cross multiply
    90,541,929.50x = 196,125,535 × 196,125,535
  4. Step 4: Simplify right side
    90,541,929.50x = 38,465,225,479,036,224
  5. Step 5: Solve for x
    x = 38,465,225,479,036,224/90,541,929.50
  6. Step 6: Final answer
    x = 424,833,286.54

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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.