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Finding the Third Proportional to 86,198,818.50 and 191,529,510.75

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Solution

The third proportional to 86,198,818.50 and 191,529,510.75 is: 425,569,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,818.50 : 191,529,510.75 = 191,529,510.75 : x
  2. Step 2: Convert to fraction form
    86,198,818.50/191,529,510.75 = 191,529,510.75/x
  3. Step 3: Cross multiply
    86,198,818.50x = 191,529,510.75 × 191,529,510.75
  4. Step 4: Simplify right side
    86,198,818.50x = 36,683,553,488,134,368
  5. Step 5: Solve for x
    x = 36,683,553,488,134,368/86,198,818.50
  6. Step 6: Final answer
    x = 425,569,098.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.