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Finding the Third Proportional to 74,945,065.50 and 167,122,417.50

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Solution

The third proportional to 74,945,065.50 and 167,122,417.50 is: 372,671,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,945,065.50 : 167,122,417.50 = 167,122,417.50 : x
  2. Step 2: Convert to fraction form
    74,945,065.50/167,122,417.50 = 167,122,417.50/x
  3. Step 3: Cross multiply
    74,945,065.50x = 167,122,417.50 × 167,122,417.50
  4. Step 4: Simplify right side
    74,945,065.50x = 27,929,902,431,044,308
  5. Step 5: Solve for x
    x = 27,929,902,431,044,308/74,945,065.50
  6. Step 6: Final answer
    x = 372,671,666.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.