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Finding the Third Proportional to 199,747,998 and 437,680,975.50

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Solution

The third proportional to 199,747,998 and 437,680,975.50 is: 959,031,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,747,998 : 437,680,975.50 = 437,680,975.50 : x
  2. Step 2: Convert to fraction form
    199,747,998/437,680,975.50 = 437,680,975.50/x
  3. Step 3: Cross multiply
    199,747,998x = 437,680,975.50 × 437,680,975.50
  4. Step 4: Simplify right side
    199,747,998x = 191,564,636,314,631,616
  5. Step 5: Solve for x
    x = 191,564,636,314,631,616/199,747,998
  6. Step 6: Final answer
    x = 959,031,570.94

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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.