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Finding the Third Proportional to 91,831,899 and 199,805,698.50

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Solution

The third proportional to 91,831,899 and 199,805,698.50 is: 434,732,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,831,899 : 199,805,698.50 = 199,805,698.50 : x
  2. Step 2: Convert to fraction form
    91,831,899/199,805,698.50 = 199,805,698.50/x
  3. Step 3: Cross multiply
    91,831,899x = 199,805,698.50 × 199,805,698.50
  4. Step 4: Simplify right side
    91,831,899x = 39,922,317,153,072,904
  5. Step 5: Solve for x
    x = 39,922,317,153,072,904/91,831,899
  6. Step 6: Final answer
    x = 434,732,566.66

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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.