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Finding the Third Proportional to 98,359,150.50 and 211,855,972.50

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Solution

The third proportional to 98,359,150.50 and 211,855,972.50 is: 456,317,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,359,150.50 : 211,855,972.50 = 211,855,972.50 : x
  2. Step 2: Convert to fraction form
    98,359,150.50/211,855,972.50 = 211,855,972.50/x
  3. Step 3: Cross multiply
    98,359,150.50x = 211,855,972.50 × 211,855,972.50
  4. Step 4: Simplify right side
    98,359,150.50x = 44,882,953,083,920,760
  5. Step 5: Solve for x
    x = 44,882,953,083,920,760/98,359,150.50
  6. Step 6: Final answer
    x = 456,317,006.15

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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.