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Finding the Third Proportional to 186,982,227,428 and 379,167,453,744.50

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Solution

The third proportional to 186,982,227,428 and 379,167,453,744.50 is: 768,885,684,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,982,227,428 : 379,167,453,744.50 = 379,167,453,744.50 : x
  2. Step 2: Convert to fraction form
    186,982,227,428/379,167,453,744.50 = 379,167,453,744.50/x
  3. Step 3: Cross multiply
    186,982,227,428x = 379,167,453,744.50 × 379,167,453,744.50
  4. Step 4: Simplify right side
    186,982,227,428x = 143,767,957,979,087,539,011,584
  5. Step 5: Solve for x
    x = 143,767,957,979,087,539,011,584/186,982,227,428
  6. Step 6: Final answer
    x = 768,885,684,787.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.