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Finding the Third Proportional to 91,008,841.50 and 199,044,009

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Solution

The third proportional to 91,008,841.50 and 199,044,009 is: 435,326,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,008,841.50 : 199,044,009 = 199,044,009 : x
  2. Step 2: Convert to fraction form
    91,008,841.50/199,044,009 = 199,044,009/x
  3. Step 3: Cross multiply
    91,008,841.50x = 199,044,009 × 199,044,009
  4. Step 4: Simplify right side
    91,008,841.50x = 39,618,517,518,792,080
  5. Step 5: Solve for x
    x = 39,618,517,518,792,080/91,008,841.50
  6. Step 6: Final answer
    x = 435,326,028.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.