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Finding the Third Proportional to 161,717,249 and 264,041,796

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Solution

The third proportional to 161,717,249 and 264,041,796 is: 431,110,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717,249 : 264,041,796 = 264,041,796 : x
  2. Step 2: Convert to fraction form
    161,717,249/264,041,796 = 264,041,796/x
  3. Step 3: Cross multiply
    161,717,249x = 264,041,796 × 264,041,796
  4. Step 4: Simplify right side
    161,717,249x = 69,718,070,034,905,616
  5. Step 5: Solve for x
    x = 69,718,070,034,905,616/161,717,249
  6. Step 6: Final answer
    x = 431,110,907.87

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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.