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Finding the Third Proportional to 74,313,214 and 155,402,300

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Solution

The third proportional to 74,313,214 and 155,402,300 is: 324,974,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,214 : 155,402,300 = 155,402,300 : x
  2. Step 2: Convert to fraction form
    74,313,214/155,402,300 = 155,402,300/x
  3. Step 3: Cross multiply
    74,313,214x = 155,402,300 × 155,402,300
  4. Step 4: Simplify right side
    74,313,214x = 24,149,874,845,290,000
  5. Step 5: Solve for x
    x = 24,149,874,845,290,000/74,313,214
  6. Step 6: Final answer
    x = 324,974,167.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.