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Finding the Third Proportional to 98,182,980.50 and 213,603,950.50

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Solution

The third proportional to 98,182,980.50 and 213,603,950.50 is: 464,710,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,182,980.50 : 213,603,950.50 = 213,603,950.50 : x
  2. Step 2: Convert to fraction form
    98,182,980.50/213,603,950.50 = 213,603,950.50/x
  3. Step 3: Cross multiply
    98,182,980.50x = 213,603,950.50 × 213,603,950.50
  4. Step 4: Simplify right side
    98,182,980.50x = 45,626,647,669,206,448
  5. Step 5: Solve for x
    x = 45,626,647,669,206,448/98,182,980.50
  6. Step 6: Final answer
    x = 464,710,354.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.