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Finding the Third Proportional to 91,346,220,952.50 and 190,209,849,490.50

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Solution

The third proportional to 91,346,220,952.50 and 190,209,849,490.50 is: 396,073,164,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,346,220,952.50 : 190,209,849,490.50 = 190,209,849,490.50 : x
  2. Step 2: Convert to fraction form
    91,346,220,952.50/190,209,849,490.50 = 190,209,849,490.50/x
  3. Step 3: Cross multiply
    91,346,220,952.50x = 190,209,849,490.50 × 190,209,849,490.50
  4. Step 4: Simplify right side
    91,346,220,952.50x = 36,179,786,843,198,664,474,624
  5. Step 5: Solve for x
    x = 36,179,786,843,198,664,474,624/91,346,220,952.50
  6. Step 6: Final answer
    x = 396,073,164,997.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.