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Finding the Third Proportional to 152,796,669 and 331,432,557

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Solution

The third proportional to 152,796,669 and 331,432,557 is: 718,913,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,796,669 : 331,432,557 = 331,432,557 : x
  2. Step 2: Convert to fraction form
    152,796,669/331,432,557 = 331,432,557/x
  3. Step 3: Cross multiply
    152,796,669x = 331,432,557 × 331,432,557
  4. Step 4: Simplify right side
    152,796,669x = 109,847,539,839,558,256
  5. Step 5: Solve for x
    x = 109,847,539,839,558,256/152,796,669
  6. Step 6: Final answer
    x = 718,913,184.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.