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Finding the Third Proportional to 161,717,247 and 264,041,798.63

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Solution

The third proportional to 161,717,247 and 264,041,798.63 is: 431,110,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717,247 : 264,041,798.63 = 264,041,798.63 : x
  2. Step 2: Convert to fraction form
    161,717,247/264,041,798.63 = 264,041,798.63/x
  3. Step 3: Cross multiply
    161,717,247x = 264,041,798.63 × 264,041,798.63
  4. Step 4: Simplify right side
    161,717,247x = 69,718,071,421,125,048
  5. Step 5: Solve for x
    x = 69,718,071,421,125,048/161,717,247
  6. Step 6: Final answer
    x = 431,110,921.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.