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Finding the Third Proportional to 131,467,803 and 205,160,523

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Solution

The third proportional to 131,467,803 and 205,160,523 is: 320,160,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,467,803 : 205,160,523 = 205,160,523 : x
  2. Step 2: Convert to fraction form
    131,467,803/205,160,523 = 205,160,523/x
  3. Step 3: Cross multiply
    131,467,803x = 205,160,523 × 205,160,523
  4. Step 4: Simplify right side
    131,467,803x = 42,090,840,197,633,528
  5. Step 5: Solve for x
    x = 42,090,840,197,633,528/131,467,803
  6. Step 6: Final answer
    x = 320,160,824.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.