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Finding the Third Proportional to 74,196,477.50 and 158,582,022.50

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Solution

The third proportional to 74,196,477.50 and 158,582,022.50 is: 338,941,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196,477.50 : 158,582,022.50 = 158,582,022.50 : x
  2. Step 2: Convert to fraction form
    74,196,477.50/158,582,022.50 = 158,582,022.50/x
  3. Step 3: Cross multiply
    74,196,477.50x = 158,582,022.50 × 158,582,022.50
  4. Step 4: Simplify right side
    74,196,477.50x = 25,148,257,860,190,508
  5. Step 5: Solve for x
    x = 25,148,257,860,190,508/74,196,477.50
  6. Step 6: Final answer
    x = 338,941,398.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.