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Finding the Third Proportional to 173,598,940.13 and 264,468,256.88

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Solution

The third proportional to 173,598,940.13 and 264,468,256.88 is: 402,902,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,598,940.13 : 264,468,256.88 = 264,468,256.88 : x
  2. Step 2: Convert to fraction form
    173,598,940.13/264,468,256.88 = 264,468,256.88/x
  3. Step 3: Cross multiply
    173,598,940.13x = 264,468,256.88 × 264,468,256.88
  4. Step 4: Simplify right side
    173,598,940.13x = 69,943,458,894,500,984
  5. Step 5: Solve for x
    x = 69,943,458,894,500,984/173,598,940.13
  6. Step 6: Final answer
    x = 402,902,568.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.